Question

How do we convert from degrees to radians, and from radians to degrees?

Answer 1

The radius of a circle and the circumference can be connected to the equation [ C = 2πr ]. In a circle, there are 2π radians that makeup 360°. In other words, 180° each or π radians each. Finally, to convert degrees to radians, multiply the angle in degrees by π/180°.

Lets say we are given an angle of 60°. We can solve very easily like this:

60° × π/180° ≈ 1.05 rad

Best of Luck!

Answer 2

To convert from degree to radian,
multiply by,


`( \pi)/(180 \degree)`

To convert from radian to degree, multiply by,


`(180 \degree)/( \pi)`

For example

90° in radian

`= 90 \degree * ( \pi)/(180 \degree)`



`= ( \pi)/(2) \: radian`