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    How to convert degree to radian

    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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