Radians to Degrees Converter

Unlock angle conversions with ease! Enter radians and watch them transform into degrees instantly.

Enter Angle in Radians

rad

Angle in Degrees

rad ≈ °

Understanding Radians and Degrees

Radians and degrees are both units used to measure angles. A degree is a unit of angle, defined as 1/360th of a full rotation. A radian, on the other hand, is the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle. One full rotation is 360 degrees, which is equivalent to 2π radians. Therefore, to convert radians to degrees, you multiply the angle in radians by 180 π .

Formula: Degrees = Radians × (180/π)
Use Case: Radians are commonly used in advanced mathematics and physics because they simplify many formulas, especially in calculus and trigonometry. Degrees are more commonly used in everyday applications and less technical fields.
Example: To convert π radians to degrees: π rad × (180/π) = 180°.
Learn More: For further reading, check out resources on trigonometry and angle measurement on Khan Academy or similar educational platforms.