Angle Converter
Convert angles between degrees, radians, and gradians. Instant conversion with formulas shown — useful for trigonometry, navigation, engineering, and CAD work.
Radians
0.017453293
Degrees
1
Gradians
1.1111111
Turns
0.0027777778
Arcminutes
60
Arcseconds
3600
How to use the angle converter
180° = π rad. Trigonometric functions in most languages use radians.
Formula & explanation
Multiply degrees by π/180 to get radians.
Examples
90° = π/2 rad ≈ 1.5708.
Frequently asked questions
- How do I convert degrees to radians?
- Multiply degrees by π/180 (approximately 0.01745). For example, 90° × π/180 = π/2 ≈ 1.5708 radians.
- How do I convert radians to degrees?
- Multiply radians by 180/π (approximately 57.296). For example, 1 rad × 180/π ≈ 57.3°.
- What is a gradian?
- A gradian (grad) divides a full circle into 400 equal parts, so a right angle is 100 gradians. Gradians are used in surveying and some European countries.
- How many degrees are in a full circle?
- A full circle is 360 degrees, 2π radians, or 400 gradians.
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