# How to convert Degrees to Radians

## 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

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