# Radians to Degrees Formula

A radian is defined as the angle of an arc in a circle that is created by enclosing the radius of the circle around its circumference. We represent the angle between two lines through radians and degrees. The total angle of a circle equals 360 or we can call it as 2 radians. With the help of radians to degrees we can convert the angles that are represented in radians into degrees.

**Radians to Degrees Formula** is given as,

\[\large Degrees=\frac{Radians\times 180}{\pi}\]

### Solved Examples

**Question:**Convert 1.46 degrees to radians ?

**Solution:**

The formula to convert radians to degrees is,Degrees = $\frac{Radians*180}{π}$

Degrees = $\frac{1.46*180}{π}$

Degrees = 83.65

Degrees = $\frac{1.46*180}{π}$

Degrees = 83.65