Degrees to radians conversion is considered while measuring the angles in Geometry. The measure of the angle is usually denoted by °. An angle can be estimated by two types of units, which are, degree and radian. We can convert one form of representation of angle into another one using simple formulas. A degree has its sub-parts also, stated as minutes and seconds. This conversion is the major part of Trigonometry applications.

## How to Convert Degrees to Radians?

The value of 180° is equal to π radians. To convert any given angle from the measure of degrees to radians, the value has to be multiplied by π/180.

Where the value of π = 22/7 or 3.14

Let us create the table to convert some of the angles in degree form to radian form.

Angle in Degrees Angle in Radians

0

30°

45°

60°

90°

120°

150°

180°

210°

240°

360°

### Examples Using Degree to Radian Conversion Formula

Question 1: Convert 200 degrees into radians.

Solution: By the formula, we know;

Angle in radian = Angle in degree × π/180

Thus,

200 degrees in radian = 200 × π/180 = 10π/9 = 3.491Rad

Question 2: Convert 450 degrees into radians.

Solution: By the formula, we know;

Angle in radian = Angle in degree × π/180

Thus,