Convert between degrees, radians, and gradians.
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Convert between different angle units including degrees, radians, gradians, and turns. Essential for mathematics, physics, engineering, and trigonometry. Get instant conversions between any angle measurement units.
| Description | Degrees | Radians | Gradians | Turns |
|---|---|---|---|---|
| Right angle | 90° | π/2 ≈ 1.571 | 100 grad | 0.25 |
| Straight angle | 180° | π ≈ 3.142 | 200 grad | 0.5 |
| Full rotation | 360° | 2π ≈ 6.283 | 400 grad | 1 |
| 45° | 45° | π/4 ≈ 0.785 | 50 grad | 0.125 |
Radians are the natural unit for circular motion and calculus. Most mathematical formulas are simpler in radians. Degrees are more intuitive for everyday use.
π radians = 180 degrees. It's a straight angle, half a full rotation. This is one of the most important angle conversions in mathematics.
Gradians (also called gons) are primarily used in surveying and navigation. They divide a circle into 400 parts, making calculations easier for some applications.