{"id":67295,"date":"2026-10-21T09:43:29","date_gmt":"2026-10-21T06:43:29","guid":{"rendered":"https:\/\/wpcalc.com\/en\/?p=67295"},"modified":"2026-10-21T09:43:29","modified_gmt":"2026-10-21T06:43:29","slug":"area-calculator","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/en\/mathematics\/area-calculator\/","title":{"rendered":"Area Calculator"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">Find the Area of Any 2D Shape<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"67295\" data-favorite-title=\"Area\" data-favorite-url=\"https:\/\/wpcalc.com\/en\/mathematics\/area-calculator\/\" data-favorite-excerpt=\"Calculate the area of a square, rectangle, triangle, circle, ellipse, trapezoid, regular polygon, ring and more. Pick a shape, enter its dimensions, and get the result in square meters, square feet, acres and hectares.\" aria-label=\"Add to Favorites\" data-favorite-icon=\"icon icon-geometry\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/en\/mathematics\/area-calculator\/\" method=\"POST\" class=\"calculator\" id=\"calculator-67295\" data-post=\"67295\"><fieldset class=\"fieldset-input is-2\"><legend class=\"sr-only\">Input Fields<\/legend><div class=\"field is-single\" id=\"input-1\"><label for=\"field-1\">Shape<\/label><div class=\"grid grid-cols-1\"><select id=\"field-1\" name=\"shape\"><option value=\"square\">Square<\/option><option value=\"rectangle\" selected>Rectangle<\/option><option value=\"triangle\">Triangle<\/option><option value=\"circle\">Circle<\/option><option value=\"semicircle\">Semicircle<\/option><option value=\"ellipse\">Ellipse<\/option><option value=\"parallelogram\">Parallelogram<\/option><option value=\"trapezoid\">Trapezoid<\/option><option value=\"rhombus\">Rhombus (diagonals)<\/option><option value=\"sector\">Circular sector<\/option><option value=\"polygon\">Regular polygon<\/option><option value=\"annulus\">Ring (annulus)<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><div class=\"field is-single\" id=\"input-2\"><label for=\"field-2\">Length unit<\/label><div class=\"grid grid-cols-1\"><select id=\"field-2\" name=\"length_unit\"><option value=\"mm\">mm<\/option><option value=\"cm\" selected>cm<\/option><option value=\"m\">m<\/option><option value=\"km\">km<\/option><option value=\"in\">in<\/option><option value=\"ft\">ft<\/option><option value=\"yd\">yd<\/option><option value=\"mi\">mi<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><div class=\"is-single field\" id=\"input-3\"><span class=\"font-semibold\">Dimensions<\/span><\/div><div class=\"field has-term\" id=\"input-4\"><label for=\"field-4\">Side a<\/label><div class=\"term\">a<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"side_a\" id=\"field-4\" aria-describedby=\"calc-info-4\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"6\"\/><small id=\"calc-info-4\">Square or rectangle side, ellipse semi-axis, or trapezoid side a.<\/small><\/div><div class=\"field has-term\" id=\"input-5\"><label for=\"field-5\">Side b<\/label><div class=\"term\">b<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"side_b\" id=\"field-5\" aria-describedby=\"calc-info-5\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"4\"\/><small id=\"calc-info-5\">Second side of the rectangle or trapezoid, second ellipse semi-axis.<\/small><\/div><div class=\"field\" id=\"input-6\" hidden><label for=\"field-6\">Triangle input<\/label><div class=\"grid grid-cols-1\"><select id=\"field-6\" name=\"triangle_input\"><option value=\"bh\" selected>Base and height<\/option><option value=\"sss\">Three sides (Heron&#039;s formula)<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><div class=\"field has-term\" id=\"input-7\" hidden><label for=\"field-7\">Base<\/label><div class=\"term\">b<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"base\" id=\"field-7\" aria-describedby=\"calc-info-7\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"8\"\/><small id=\"calc-info-7\">Triangle or parallelogram base.<\/small><\/div><div class=\"field has-term\" id=\"input-8\" hidden><label for=\"field-8\">Height<\/label><div class=\"term\">h<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"height\" id=\"field-8\" aria-describedby=\"calc-info-8\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"5\"\/><small id=\"calc-info-8\">Perpendicular height to the base.<\/small><\/div><div class=\"field has-term\" id=\"input-9\" hidden><label for=\"field-9\">Side a (triangle)<\/label><div class=\"term\">a<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"side_a_triangle\" id=\"field-9\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"3\"\/><\/div><div class=\"field has-term\" id=\"input-10\" hidden><label for=\"field-10\">Side b (triangle)<\/label><div class=\"term\">b<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"side_b_triangle\" id=\"field-10\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"4\"\/><\/div><div class=\"field has-term\" id=\"input-11\" hidden><label for=\"field-11\">Side c<\/label><div class=\"term\">c<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"side_c\" id=\"field-11\" aria-describedby=\"calc-info-11\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"5\"\/><small id=\"calc-info-11\">Each side must be shorter than the sum of the other two.<\/small><\/div><div class=\"field has-term\" id=\"input-12\" hidden><label for=\"field-12\">Radius<\/label><div class=\"term\">r<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"radius\" id=\"field-12\" aria-describedby=\"calc-info-12\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"5\"\/><small id=\"calc-info-12\">Circle, semicircle or sector radius; outer radius of the ring.<\/small><\/div><div class=\"field has-term\" id=\"input-13\" hidden><label for=\"field-13\">Inner radius<\/label><div class=\"term\">r<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"inner_radius\" id=\"field-13\" aria-describedby=\"calc-info-13\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"3\"\/><small id=\"calc-info-13\">Radius of the hole; must be smaller than the radius above.<\/small><\/div><div class=\"field has-term\" id=\"input-14\" hidden><label for=\"field-14\">Central angle<\/label><div class=\"term\">\u03b8<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"central_angle\" id=\"field-14\" aria-describedby=\"calc-info-14\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" max=\"360\" value=\"90\"\/><small id=\"calc-info-14\">Angle between the two radii of the sector.<\/small><\/div><div class=\"field\" id=\"input-15\" hidden><label for=\"field-15\">Angle unit<\/label><div class=\"grid grid-cols-1\"><select id=\"field-15\" name=\"angle_unit\"><option value=\"deg\" selected>degrees (\u00b0)<\/option><option value=\"rad\">radians (rad)<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><div class=\"field has-term\" id=\"input-16\" hidden><label for=\"field-16\">Number of sides<\/label><div class=\"term\">n<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"number_of_sides\" id=\"field-16\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"3\" max=\"1000\" value=\"6\"\/><\/div><div class=\"field has-term\" id=\"input-17\" hidden><label for=\"field-17\">Side length<\/label><div class=\"term\">s<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"side_length\" id=\"field-17\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"10\"\/><\/div><div class=\"field has-term\" id=\"input-18\" hidden><label for=\"field-18\">Diagonal 1<\/label><div class=\"term\">d\u2081<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"diagonal_1\" id=\"field-18\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"10\"\/><\/div><div class=\"field has-term\" id=\"input-19\" hidden><label for=\"field-19\">Diagonal 2<\/label><div class=\"term\">d\u2082<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"diagonal_2\" id=\"field-19\" aria-describedby=\"calc-info-19\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"8\"\/><small id=\"calc-info-19\">The diagonals of a rhombus cross at right angles.<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Re-Calculate\" id=\"calculate-button\" data-post=\"67295\">Calculate<\/button><button type=\"reset\">Reset<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Calculate automatically<\/label><small>If enabled, the result will update automatically when you change any value.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> Area Results<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>Area<\/span><span class=\"result-term\">A<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-2\"><span class=\"field-title\"><span>Area in square meters<\/span><\/span><span class=\"field-value\" id=\"result-2\" data-unit=\"m\u00b2\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-3\"><span class=\"field-title\"><span>Area in square feet<\/span><\/span><span class=\"field-value\" id=\"result-3\" data-unit=\"ft\u00b2\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-4\"><span class=\"field-title\"><span>Area in square yards<\/span><\/span><span class=\"field-value\" id=\"result-4\" data-unit=\"yd\u00b2\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-5\"><span class=\"field-title\"><span>Area in acres<\/span><\/span><span class=\"field-value\" id=\"result-5\" data-unit=\"ac\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-6\"><span class=\"field-title\"><span>Area in hectares<\/span><\/span><span class=\"field-value\" id=\"result-6\" data-unit=\"ha\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-7\"><span class=\"field-title\"><span>Perimeter<\/span><span class=\"result-term\">P<\/span><\/span><span class=\"field-value\" id=\"result-7\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-8\"><span class=\"field-title\"><span>Formula with your values<\/span><\/span><span class=\"field-value\" id=\"result-8\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-9\"><span class=\"field-title\"><span>Shape diagram<\/span><\/span><span class=\"field-value\" id=\"result-9\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Copy link to this calculation<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Leave a Comment<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"67295\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">How did this result make you feel?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">1<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Like <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Helpful <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Confused <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Disappointed <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Inaccurate <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>Area Formula<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Formula<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[ \\begin{aligned} \\text{Square \/ Rectangle:} \\quad &amp; A = a^2 \\;\\;(a = b) \\qquad A = ab \\\\ \\text{Triangle:} \\quad &amp; A = \\tfrac{1}{2}\\,b\\,h \\qquad A = \\sqrt{s(s-a)(s-b)(s-c)},\\; s = \\tfrac{a+b+c}{2} \\\\ \\text{Circle:} \\quad &amp; A = \\pi r^2 \\qquad \\text{Semicircle: } A = \\tfrac{1}{2}\\pi r^2 \\\\ \\text{Ellipse:} \\quad &amp; A = \\pi a b \\\\ \\text{Parallelogram:} \\quad &amp; A = b\\,h \\qquad \\text{Trapezoid: } A = \\tfrac{1}{2}(a+b)h \\\\ \\text{Rhombus:} \\quad &amp; A = \\tfrac{1}{2}\\,d_1 d_2 \\\\ \\text{Circular sector:} \\quad &amp; A = \\tfrac{1}{2}\\,r^2\\theta \\quad (\\theta \\text{ in radians}) \\\\ \\text{Regular polygon:} \\quad &amp; A = \\frac{n\\,s^2}{4\\tan(\\pi\/n)} \\\\ \\text{Annulus (ring):} \\quad &amp; A = \\pi(R^2 - r^2) \\end{aligned} \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Where:<\/strong><\/p>\n<ul>\n<li>\\(a\\), \\(b\\) \u2014 side lengths, semi-axes or parallel sides, depending on the shape<\/li>\n<li>\\(h\\) \u2014 perpendicular height to the base<\/li>\n<li>\\(r\\), \\(R\\) \u2014 radius (inner) and outer radius<\/li>\n<li>\\(d_1\\), \\(d_2\\) \u2014 diagonals of the rhombus<\/li>\n<li>\\(\\theta\\) \u2014 central angle of the sector<\/li>\n<li>\\(n\\), \\(s\\) \u2014 number of sides and side length of a regular polygon<\/li>\n<\/ul>\n<p>Each formula multiplies two perpendicular lengths, so the area always comes out in the chosen length unit squared (for example \\(\\text{cm}^2\\)). For the sector, the angle must first be converted from degrees to radians: \\(\\theta = \\theta_{\\text{deg}} \\cdot \\pi\/180\\).<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-459\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>Area \u2013 Calculation Example<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Example:<\/strong> a rectangular room is 6 cm long and 4 cm wide on a floor plan (the calculator's default values), and the unit is set to cm.<\/p>\n<p>\\[ A = a \\times b = 6 \\times 4 = 24 \\;\\text{cm}^2 \\]<\/p>\n<p>\\[ P = 2(a + b) = 2 \\times (6 + 4) = 20 \\;\\text{cm} \\]<\/p>\n<p><strong>Result:<\/strong> the area is 24 cm\u00b2 (0.0024 m\u00b2, about 0.258 ft\u00b2) and the perimeter is 20 cm. The same numbers in meters instead of centimetres would give an area of 24 m\u00b2 \u2014 which is why the unit selector matters.<\/p>\n<p>\n\r\n<\/section>\n<h2>How to use the calculator<\/h2>\n<ol>\n<li>Choose a <strong>Shape<\/strong> from the dropdown \u2014 square, rectangle, triangle, circle, semicircle, ellipse, parallelogram, trapezoid, rhombus, circular sector, regular polygon or ring (annulus).<\/li>\n<li>Select the <strong>Length unit<\/strong> (mm, cm, m, km, in, ft, yd or mi). Every dimension you type is interpreted in this unit, and the area is returned in this unit squared.<\/li>\n<li>Only the fields the chosen shape needs are shown under <strong>Dimensions<\/strong>. Enter them as positive numbers \u2014 for example <strong>Side a<\/strong> and <strong>Side b<\/strong> for a rectangle, or <strong>Radius<\/strong> and <strong>Central angle<\/strong> for a sector.<\/li>\n<li>For a triangle, first pick the <strong>Triangle input<\/strong> method: base and height, or three sides (Heron's formula).<\/li>\n<li>Read the results: the area in your unit, conversions to square meters, square feet, square yards, acres and hectares, and the perimeter when the shape's dimensions fully define it. A step-by-step formula with your values and a scale diagram are shown at the bottom.<\/li>\n<\/ol>\n<h2>What is area and how to interpret the result<\/h2>\n<p>Area measures the size of a surface: how much two-dimensional space a shape covers. You meet it everywhere \u2014 floor space of a room, paint needed for a wall, land in a deed, material for a tarp or a garden bed. Whatever the shape, the underlying idea is the same: count how many unit squares fit inside the figure. A rectangle of 6 by 4 units contains exactly 24 unit squares, hence \\(A = 24\\) square units.<\/p>\n<p>The formulas above are shortcuts for that count. Because each one combines two lengths, the result always carries squared units: centimetres give cm\u00b2, feet give ft\u00b2, kilometres give km\u00b2. Mixing units without converting them is the single most common mistake, which is why the calculator fixes one unit for all inputs and then converts the result for you into m\u00b2, ft\u00b2, yd\u00b2, acres and hectares \u2014 the five units most often used in construction, landscaping and surveying.<\/p>\n<p>The perimeter, when shown, answers a different question: not how much space a shape covers, but how long its boundary is. Fence length is a perimeter problem; lawn, paint or tile quantity is an area problem. A long thin rectangle and a compact square can enclose the same area with very different perimeters.<\/p>\n<p>Note that for some shapes, such as the circle, the perimeter is the circumference \\(C = 2\\pi r\\), and for the sector it is the arc plus two radii. More specialised tools exist if you need to go deeper: the <a href=\"https:\/\/wpcalc.com\/en\/mathematics\/triangle-area-calculator\/\">triangle area calculator<\/a> covers more triangle cases, the <a href=\"https:\/\/wpcalc.com\/en\/mathematics\/circle-calculator\/\">circle calculator<\/a> works out radius, diameter and circumference, and the <a href=\"https:\/\/wpcalc.com\/en\/mathematics\/sector-area-calculator\/\">sector area calculator<\/a> and <a href=\"https:\/\/wpcalc.com\/en\/mathematics\/regular-polygon-area-calculator\/\">regular polygon area calculator<\/a> focus on those two shapes in detail.<\/p>\n<h2>Assumptions, limits and practical tips<\/h2>\n<ul>\n<li><strong>Units are shared by all inputs.<\/strong> If your plan mixes metres and centimetres, convert to a single unit first \u2014 or use the <a href=\"https:\/\/wpcalc.com\/en\/mathematics\/scientific-calculator\/\">scientific calculator<\/a> to do it quickly.<\/li>\n<li><strong>Heights must be perpendicular.<\/strong> For a triangle, parallelogram or trapezoid, enter the height measured at a right angle to the base, not the slant side.<\/li>\n<li><strong>A base-and-height triangle does not have a fixed perimeter.<\/strong> The area is determined, but the slant sides can vary, so the calculator hides the perimeter for this input method. With three sides (Heron's formula) it is simply \\(a + b + c\\).<\/li>\n<li><strong>Triangle sides must satisfy the triangle inequality<\/strong>: each side shorter than the sum of the other two. The calculator tells you when they do not.<\/li>\n<li><strong>The rhombus input uses diagonals<\/strong>, which must cross at right angles; for a rhombus they always do. The sector angle must be between 0\u00b0 and 360\u00b0 (0 and 2\u03c0 rad).<\/li>\n<li><strong>The polygon must be regular<\/strong> (all sides and angles equal). For an irregular quadrilateral, split it into triangles and add their areas.<\/li>\n<li><strong>The annulus needs an inner radius smaller than the outer radius.<\/strong> The result is the area of the ring between the two circles.<\/li>\n<li><strong>Ellipse perimeter is approximate<\/strong> (Ramanujan's formula) \u2014 very accurate for typical shapes, but no exact elementary formula exists.<\/li>\n<li><strong>Acres and hectare conversions<\/strong> appear automatically, which is handy for land: 1 ha = 10,000 m\u00b2 and 1 acre \u2248 4,046.86 m\u00b2.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Calculate the area of a square, rectangle, triangle, circle, ellipse, trapezoid, regular polygon, ring and more. Pick a shape, enter its dimensions, and get the result in square meters, square feet, acres and hectares.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[7],"tags":[23],"class_list":["post-67295","post","type-post","status-publish","format-standard","hentry","category-mathematics","tag-geometry"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/67295","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/comments?post=67295"}],"version-history":[{"count":1,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/67295\/revisions"}],"predecessor-version":[{"id":67296,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/67295\/revisions\/67296"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/media?parent=67295"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/categories?post=67295"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/tags?post=67295"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}