Radians to Degrees Calculator
Quick radians → degrees for trig homework and calculator modes. Click any i for detail.
Angle
Radians
i
Radians
Angle in radians (π ≈ 3.14159). |
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How to use this calculator
- Enter the angle in radians.
- Read degrees.
- Remember π rad = 180° and π/2 rad = 90°.
Results explained
A full turn is 2π radians or 360 degrees, so the conversion factor is 180/π. Many programming libraries use radians internally while handheld calculators often default to degrees — mismatched modes are a common exam trap.
Quick reference: radians → degrees
degrees = radians × (180 / π).
| Item | Detail |
|---|---|
| π rad | 180° |
| π/2 rad | 90° |
| π/4 rad | 45° |
| 1 rad | ≈ 57.2958° |
Keep enough decimals when the problem asks for exact multiples of π.
How the estimate is built
degrees = radians × 180 / π.
Example scenario
π/2 radians → 90°.
FAQ
Why is my calculator answer in radians?
Check DEG vs RAD mode. Trig functions on most scientific calculators follow the active mode.
Can I enter π symbolically?
Enter a decimal approximation (3.14159…) or a known multiple like 1.5708 for π/2.
Is 1 radian a full right angle?
No. One radian is about 57.3°, while a right angle is π/2 radians.
Negative angles?
Yes — the sign carries through the same factor.