Question

How to convert degree into radian?????

Answer 1

Degrees to radians conversion formula

One degree is equal 0.01745329252 radians:
1° = π/180° = 0.005555556π = 0.01745329252 rad
The angle α in radians is equal to the angle α in degrees times pi constant divided by 180 degrees:
α(radians) = α(degrees) × π / 180°
or
radians = degrees × π / 180°

Example

Convert 30 degrees angle to radians:
α(radians) = α(degrees) × π / 180° = 30° × 3.1459 / 180° = 0.5236 rad

Degrees to radians in terms of pi

The angle α in radians is equal to the angle α in degrees times pi constant divided by 180 degrees:
α(radians) = (α(degrees) / 180°) × π

Example

Convert 30 degrees angle to radians in terms of pi:
α(radians) = (α(degrees) / 180°) × π = (30° / 180°) × π
 = (1/6) × π = π/6 rad = 0.166667π rad

Answer 2

HEYA!!


THE RELATION BETWEEN DEGREE AND RADIAN IS

1 degree = 0.0175 radian

so, 1 radian = 1/0.0175 degree


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