Geometry Calculators

Linear Size

This Linear Size Calculator helps determine the actual linear dimension of an object based on its distance and angular size. It’s useful for optical calculations, astronomy, photography, and any field involving angular measurement. Simply input the distance to the object (L) and the angular size (α), and the tool will compute the linear size (D).

Angular Size

The Angular Size Calculator helps determine the apparent size of an object as seen from a specific distance. It is useful for astronomers, photographers, and anyone dealing with visual measurements. By inputting the object’s actual size and the distance to the observer, the calculator provides the angular size in degrees or arcminutes, helping assess how large the object will appear from a given viewpoint.

Distance Perspective Projection

This calculator estimates the angular size of an object as seen from a given distance, or conversely, calculates the distance required to achieve a specific angular size. It’s widely used in astronomy, photography, optics, and vision science to simulate how large an object appears to the observer depending on its real size and distance.

Angle Bisector

The Angle Bisector of Two Lines calculator determines the equations of the angle bisectors formed at the intersection of two lines. It’s useful for solving problems in analytical geometry, design, and computer graphics. Simply enter the coefficients of the two lines, and the calculator will compute both angle bisectors: the one that divides the acute angle and the one for the obtuse angle.

Eccentricity of an Ellipse

This calculator helps you determine the eccentricity (E) of an ellipse based on the values of its semi-major axis (a) and semi-minor axis (b). It’s useful in geometry, astronomy, and physics where ellipses describe orbits or shapes. Simply input the values, and the tool will compute how “elongated” the ellipse is.

Length of the Angle Bisector

The Length of the Angle Bisector calculator helps determine the length of the segment that divides an angle of a triangle into two equal parts. This tool is useful for students, architects, engineers, and geometry enthusiasts. It uses triangle side lengths and angle properties to quickly compute the bisector length with precision.

Triangle Inequality Checker

This calculator helps you find the total time required to complete a task when two team members work together. Ideal for project managers, engineers, students, and anyone coordinating shared tasks. Simply input the individual times each person would take to complete the task alone, and the calculator shows the combined work time.

Vertex of Quadratic Equation

This calculator helps you find the vertex of a quadratic equation in standard form ax² + bx + c. It’s useful for students, teachers, and engineers working with parabolas, as it instantly identifies the highest or lowest point on the graph. Just input the coefficients a, b, and c to get the vertex in coordinate form.

3D Vector Magnitude

The 3D Vector Magnitude calculator helps you find the length or magnitude of a vector in three-dimensional space based on its x, y, and z components. It’s a handy tool for students, engineers, and professionals working with physics or 3D graphics. Just input the values for each axis, and it instantly calculates the vector’s magnitude.

3D Vector Scalar Product

The 3D Vector Scalar Product calculator helps you find the dot product (scalar product) of two three-dimensional vectors. It’s useful in physics, engineering, and computer graphics to measure how much two vectors align or to find the angle between them. Just input the components of both vectors and get the scalar result instantly.

2D Vector Subtraction

The 2D Vector Subtraction Calculator helps you quickly subtract one 2D vector from another. Ideal for students, engineers, and anyone working with vector operations in physics or mathematics, it simplifies the subtraction process by showing clear, step-by-step results.

2D Vector Scalar Product

The 2D Vector Scalar Product Calculator helps you compute the scalar (dot) product of two 2D vectors. This tool is useful for students, engineers, and anyone working with vector mathematics. It takes the x and y components of each vector and returns a single number representing their scalar product, which can indicate the angle relationship between them.

2D Vector Magnitude

The 2D Vector Magnitude Calculator helps you quickly find the length (or magnitude) of a two-dimensional vector using its X and Y components. Ideal for students, engineers, and anyone working with physics or geometry, this tool applies the Pythagorean theorem to deliver fast, accurate results.

2D Vector Angle

The 2D Vector Angle Calculator helps you find the angle between two vectors in a two-dimensional plane. This is useful in physics, computer graphics, and geometry when analyzing directions, forces, or movement paths. Just input the x and y components of both vectors, and the calculator will determine the angle between them in degrees.

2D Vector Addition

Easily calculate the sum of two 2D vectors using their x and y components. This calculator is ideal for students, engineers, and anyone working with vector mathematics. Just enter the coordinates of each vector, and get the resulting vector instantly.