# How to convert degrees to radians in terms of pi?

Basically, degrees and radians are the units of measuring the angles.

## Answer: Radians = Degrees × π/180 is the formula to convert degrees to radians in terms of pi.

Let's find out the answer with some explanation.

**Explanation:**

We know that,

One complete revolution of an angle made at the center of a circle in radians is equal to 2π.

Similarly, in degrees, one complete revolution of an angle made at the center of a circle is 360^{∘}.

Now if we compare both the values, we get,

360^{∘} = 2π

1^{∘} = 360/2π

1^{∘} = 180/π

Thus, the formula we use to convert degrees to radians:

Radians = Degrees × π/180

This relation is deduced by analyzing a circle and can be used whenever you want to convert degrees into radians or radians into degrees.