Degree To Radian Measure

Degree and radian both the measures are used for measurement of angles. Many times, we need to convert degrees into radians for calculation purpose. Degrees can be converted to radians by multiplying the given number by π/180.

1^{0}= (π/180) radian

**Degrees**

The degree is a measurement unit of angles. A complete circle is divided into 360 **degrees**.

One degree is equal 0.01745329252 radians.

1° = π/180° = 0.005555556π = 0.01745329252 rad

**Radian**

Radian is a unit for angles measure. The angle made at the center of a circle by an arc whose length is equal to the radius of the circle is equal to One radian. It is used instead of degrees.

1 radian = 57.3R degrees

The general formula to convert degrees into radians is to simply multiply the given number of degrees by π /180°.

**For Example: Convert 90° to radian**

90° × π/180 rad = π/2 rad

= 0.5π rad

= 1.5707963268 rad

**For Example: Convert 125° to radian**

125° × π/180 rad

= 0.69444444444π rad

= 2.181661565 rad

**For Example: Convert 357° to radian**

357° × π/180 rad

= 1.9833333333π rad

= 6.2308254296 rad

**For Example: Convert 4499° to radian**

4499° × π/180 rad

= 24.994444444π rad

= 78.522363047 rad