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Degrees ↔ Radians Converter

Convert between degrees and radians with π notation.

Radians (decimal)
1.57079633
π notation
π/2

Common angles

DegreesRadiansπ notation
0°0.00000
30°0.5236π/6
45°0.7854π/4
60°1.0472π/3
90°1.5708π/2
120°2.09442π/3
135°2.35623π/4
150°2.61805π/6
180°3.1416π
270°4.71243π/2
360°6.2832

How degrees and radians relate

Degrees and radians are two ways to measure angles. A full circle is 360° or 2π radians. To convert degrees to radians multiply by π/180; to convert radians to degrees multiply by 180/π. Radians are preferred in mathematics and programming because trigonometric functions (sin, cos, tan) in most languages expect radians.

For other angle conversions see the Angle Converter. For general math tools, try the Scientific Calculator.

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