Circle to Angle Units Converter

Convert Circle Units to Angle Measures

Input Fields

Angle valueEnter the value of the angle you want to convert

From unit

Degree (°)Radian (rad)Gradian (gon)Sextant (1/6 circle)Minute (′)Second (″)

To unit

Degree (°)Radian (rad)Gradian (gon)Sextant (1/6 circle)Minute (′)Second (″)

CalculateReset

Calculate automaticallyIf enabled, the result will update automatically when you change any value.

Your Results

Converted value

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Turn to Angle Conversion Formula

$$\text{Degrees} = \text{Turns} \times 360\\ \text{Radians} = \text{Turns} \times 2\pi\\ \text{Gradians} = \text{Turns} \times 400$$

Explanation: One full turn (or revolution) equals 360 degrees, $$2π$$ radians, or 400 gradians. This formula allows quick conversion between these angular units based on the number of turns.

The Circle to Angle Units Converter is perfect for transforming circular motion units into angle measurements. Commonly used in physics, engineering, robotics, and mathematics, this tool simplifies the process of converting rotations to degrees, radians, or gradians. Just enter the number of turns and get all equivalent angular values instantly.