How to Convert Radians to Degrees?

Radians and degrees are the two units to measure angles. 2π radians is equivalent to 360° that is obtained after one complete revolution of a circle. The conversion of radians to degrees can be done using the formula ‘Angle in Radians × 180°/π = Angle in Degrees’. Any angle given in radians can be converted to degrees using the steps given below,

• Note down the measure of the angle given in radians.
• We know, 1 radian = 180°/π. So, to convert the angle given in radians to degrees we multiply it with 180°/π.
  Angle in Degrees = Angle in Radians × 180°/π
• Simplify the values and express the answer in degrees(°).

Let us understand this with the help of an example.

Consider an angle π / 6 radians. Now, we need to convert the radians to degrees for this angle using the formula of conversion.

(π / 6) × (180°/π) = (Angle in Degrees)

Angle in Degrees = 180°/6 = 30°

Hence, π / 6 radians is equal to 30°.