Radians to Degrees Converter
Convert radians to degrees with accurate results. Get precise angle conversions quickly from any radian value with our reliable converter for your needs.
Radians [rad]
Degrees [°]
Conversion Result
Radians to Degrees Formula
Reverse the base relation 1° = π/180 rad to obtain
degrees = radians × 180 / π.
The calculator uses the double-precision constant of π so the converted degree values remain precise.
About Radians
Definition
A radian is the angle subtended by an arc equal in length to the radius of the circle. A full turn equals 2π radians.
Where Radians Shine
Calculus, signal processing, robotics motion planning and many physics formulas require angles in radians.
About Degrees
Familiar Unit
Degrees divide a circle into 360 parts and remain the default choice in many user interfaces, charts, and navigation devices.
Helpful Benchmarks
["Right angle: 90°","Supplementary angles sum: 180°","Full rotation: 360°"]
Radians to Degrees Table
The table lists common radian values (multiples of π) alongside their degree equivalents for quick reference.
- Radians [rad]
- Degrees [°]
- 0.01745329rad
- 1°
- 0.08726646rad
- 5°
- 0.17453293rad
- 10°
- 0.26179939rad
- 15°
- 0.52359878rad
- 30°
- 0.78539816rad
- 45°
- 1.04719755rad
- 60°
- 1.57079633rad
- 90°
- 2.0943951rad
- 120°
- 3.14159265rad
- 180°
- 4.71238898rad
- 270°
- 6.28318531rad
- 360°
Conversion Calculators
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