Degrees to Radians Calculator
Degrees → radians for calculus, physics, and code that expects radians. Click any i for detail.
Angle
Degrees
i
Degrees
Angle in degrees. |
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How to use this calculator
- Enter degrees.
- Read radians.
- Use exact π forms on paper when the problem expects them.
Results explained
Because 180° equals π radians, multiply by π/180. Unit-circle landmarks (30°, 45°, 60°, 90°) become π/6, π/4, π/3, and π/2.
Quick reference: degrees → radians
radians = degrees × (π / 180).
| Item | Detail |
|---|---|
| 180° | π rad |
| 90° | π/2 rad |
| 45° | π/4 rad |
| 1° | ≈ 0.0174533 rad |
In code, Math.cos and friends usually expect radians.
How the estimate is built
radians = degrees × π / 180.
Example scenario
180° → π radians (≈ 3.14159).
FAQ
Do I need to reduce the angle first?
Not for conversion. Coterminal reduction matters for some trig simplifications, not for the raw factor.
How do I show an exact answer?
Leave answers as multiples of π (for example 2π/3) when the degree measure is a friendly fraction of 180.
Is this the same as gradians?
No. Gradians split a right angle into 100; this page is degrees ↔ radians only.
What about DMS (degrees minutes seconds)?
Convert DMS to decimal degrees first, then use this tool.