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Angle

Degrees to Radians

Convert degrees (°) to radians (rad). Type a value below to see the result update instantly. Reference table and formula included.

Calculator

°
⇌
rad

1 ° = 0.017453 rad

Degrees to Radians Conversion Table

Common values, ready to copy:

degreesradians
1 °0.017453 rad
2 °0.034907 rad
5 °0.087266 rad
10 °0.174533 rad
25 °0.436332 rad
50 °0.872665 rad
100 °1.7453 rad
1,000 °17.4533 rad
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Formula

radians = degrees × 1.74532925e-2

Angles are ratios, not absolute quantities, so the conversion factors are exact. 1 full turn = 360° = 2π rad ≈ 6.2832 rad = 400 gon. 1° = 60 arcminutes = 3,600 arcseconds.

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