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.

1 Degree = π/180 Radian

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.

Degrees to Radians 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.

Angle in Degrees Angle in Radians

0

30°

π/6 = 0.524Rad

45°

π/4 = 0.785Rad

60°

π/3 = 1.047Rad

90°

π/2 = 1.571Rad

120°

2π/3 = 2.094Rad

150°

5π/6 = 2.618Rad

180°

Π = 3.14Rad

210°

7π/6 = 3.665Rad

240°

3π/2 = 4.189Rad

360°

2π = 6.283Rad

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,

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

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