Degrees to radians formula
The exact conversion is radians = degrees × π/180. Keep π in the result whenever possible.
Degrees to radians
radians = degrees × π / 180
Because a half turn is 180° and π radians, multiplying by π/180 converts the degree measure into radians.
Deriving the conversion
Since 180 degrees and π radians describe the same half turn, a degree is π/180 radians. Multiplying by this unit factor preserves the angle while changing its notation.
For 90 degrees, 90 × π/180 simplifies to π/2. For 45 degrees, the result is π/4.
Examples
Common angle conversions
30°→π/6
45°→π/4
90°→π/2
180°→π
360°→2π
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