Convert radians to degrees, gradians, and other angle measurement units.
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A radian (rad) is the SI base unit for plane angles. One radian is the angle subtended at the center of a circle by an arc equal in length to the radius. A full rotation is 2π ≈ 6.2832 rad.
Common Radian Conversions
- 1 rad ≈ 57.296° — multiply by 180/π to convert to degrees.
- 1 rad ≈ 63.662 gradians — multiply by 200/π to convert to gradians.
- 1 rad = 1000 mrad — one radian equals one thousand milliradians.
- π/2 rad = 90° — a right angle.
- π rad = 180° — a straight angle.
- 2π rad = 360° — a full rotation.
Radians are the natural unit for calculus, trigonometry, and physics — formulas involving radians are simpler and more compact than those using degrees.