Degrees to Radians Converter
Convert degrees to radians with accurate results. Get precise angle conversions quickly from any degree value with our reliable converter for your needs.
Degrees [°]
Radians [rad]
Conversion Result
Degrees to Radians Formula
Radians are derived directly from degrees using the proportionality 1° = π/180 rad.
General rule:
rad = degrees × π / 180
Our calculator keeps the full double-precision value of π so that even large angles remain accurate.
About Degrees
Common Everyday Unit
Degrees (symbol °) partition a circle into 360 equal parts. They are standard in navigation, cartography and consumer software.
Useful Benchmarks
["Right angle: 90°","Straight angle: 180°","Full rotation: 360°"]
About Radians
SI Angle Unit
The radian is defined so that a full turn equals 2π radians. One radian corresponds to the angle subtended by an arc equal in length to the radius.
Why Engineers Prefer Radians
Trigonometric derivatives and many physics formulas simplify when angles are expressed in radians, because the unit links directly to arc length.
Key Equivalents
["π rad = 180°","π/2 rad ≈ 1.5708 rad = 90°","2π rad ≈ 6.2832 rad = 360°"]
Degrees to Radians Table
Use the table below for quick reference when moving between common degree positions and their radian equivalents.
- Degrees [°]
- Radians [rad]
- 1°
- 0.01745329rad
- 5°
- 0.08726646rad
- 10°
- 0.17453293rad
- 15°
- 0.26179939rad
- 30°
- 0.52359878rad
- 45°
- 0.78539816rad
- 60°
- 1.04719755rad
- 90°
- 1.57079633rad
- 120°
- 2.0943951rad
- 180°
- 3.14159265rad
- 270°
- 4.71238898rad
- 360°
- 6.28318531rad
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