Angle converter
Convert angles between degrees, radians, gradians, turns and arc-minutes/seconds. Essential for maths, surveying and navigation.
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- No data stored
- Reviewed 2026-01-15
Your details
Results
Converted value
1.570796rad
90 ° = 1.570796 rad
- Conversion factor
- 1 ° = 0.0174532925 rad
- Inverse factor
- 1 rad = 57.295779513 °
- Scientific
- 1.570796e+0
All units
| Unit | Value | Per one |
|---|---|---|
| Degree (°) | 90.000000 | 1 |
| Radian (rad) | 1.570796 | 0.01745329 |
| Milliradian (mrad) | 1,570.796327 | 17.45329252 |
| Gradian (gon) | 100.000000 | 1.11111111 |
| Turn / revolution | 0.250000 | 0.00277778 |
| Arcminute (′) | 5,400.000000 | 60 |
| Arcsecond (″) | 324,000.000000 | 3,600 |
Quick reference
| ° | rad |
|---|---|
| 1 ° | 0.0175 rad |
| 2 ° | 0.0349 rad |
| 5 ° | 0.0873 rad |
| 10 ° | 0.1745 rad |
| 20 ° | 0.3491 rad |
| 25 ° | 0.4363 rad |
| 50 ° | 0.8727 rad |
| 100 ° | 1.7453 rad |
| 500 ° | 8.7266 rad |
| 1,000 ° | 17.4533 rad |
About the Angle Converter
Convert between degrees (°), radians (rad), gradians (gon/grad), turns (full rotations), arc-minutes (′) and arc-seconds (″). Shows the formula and common reference angles.
How to use the Angle Converter
- Enter the angle value.
- Select the source unit.
- Select the target unit.
- View the conversion.
Frequently asked questions
How many radians in a full circle?
2π radians = 360° = 400 gradians = 1 turn.
When are gradians used?
Primarily in surveying and some European countries. A right angle is 100 gradians, making slope calculations simpler.
How do I convert degrees to radians?
Multiply by π/180. For example, 90° = 90 × π/180 = π/2 ≈ 1.5708 radians.