Degrees to Radians

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.

Also, read: Angles.

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, we have to use the below-given formula;

Where the value of π = 22/7 or 3.14

Degrees to Radians Chart

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

Examples

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,

450 degrees in radian = 450 × π/180 = 7.854Rad

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