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Radians To Degrees Calculator

Free online tool that helps you convert an angle in radians to its equivalent angle in degrees.

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Radians and degrees

Radians and degrees are two different units of measuring angles in a circle. A circle has 360 degrees or 2π radians.

Degrees are a measure of angle based on a circle with 360 degrees, where each degree is equal to 1/360th of a full circle. This means that a right angle is equal to 90 degrees, a straight angle is equal to 180 degrees, and a full circle is equal to 360 degrees.

Radians, on the other hand, are a measure of angle based on the radius of a circle. One radian is defined as the angle subtended at the center of a circle by an arc of the circle's circumference equal in length to the circle's radius. This means that a full circle is equal to 2π radians, and a right angle is equal to π/2 radians.

Radians are often used in mathematical calculations involving circles and trigonometry, while degrees are more commonly used in everyday applications. However, both units are useful and can be converted from one to the other using a simple formula:

Radians = (Degrees x π) / 180

Degrees = (Radians x 180) / π