CONVERT DEGREES TO RADIANS
Accurate degrees to radians converter. Convert angle units instantly with extreme precision.
degrees
radians
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What is a Degree (°)?
Definition: A degree is 1/360 of a full circle rotation. One degree equals π/180 radians.
History: Originated from ancient Babylonian astronomy using base-60 mathematics.
Current use: Standard unit for angles in navigation, geography, and everyday measurements.
What is a Radian (rad)?
Definition: A radian is the angle where the arc length equals the radius. A full circle is 2π radians.
History: Developed in the 18th century, formalized as a unit in 1873.
Current use: The SI unit for angles, essential in mathematics and physics.
Degrees to Radians Conversion
| Degrees | Radians |
|---|---|
| 0.01 deg | 0.0001745329 rad |
| 0.1 deg | 0.0017453293 rad |
| 1 deg | 0.0174532925 rad |
| 2 deg | 0.034906585 rad |
| 3 deg | 0.0523598776 rad |
| 5 deg | 0.0872664626 rad |
| 10 deg | 0.1745329252 rad |
| 20 deg | 0.3490658504 rad |
| 50 deg | 0.872664626 rad |
| 100 deg | 1.745329252 rad |
| 1000 deg | 17.4532925199 rad |
radians = degrees × (π/180)
radians = degrees × 0.01745329251
Example Conversion
180° = 180 × (π/180) = π radians ≈ 3.14159265