How to convert degrees to radians in terms of pi?

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 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^∘ = 2π/360

1^∘ = π/180

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 wherever you want to convert degrees into radians or radians into degrees.

Hence, 'Radians = Degrees × π/180' is the formula to convert degrees to radians in terms of pi.