Angle Converter
Convert angles between degrees, radians, gradians, arcminutes, arcseconds and turns.
Enter your numbers to see the result.
Degrees and radians
A full circle is 360 degrees or 2π radians, so one radian is about 57.296°.
Radians = Degrees × π ÷ 180 Degrees = Radians × 180 ÷ π
90° × π ÷ 180 = π/2 ≈ 1.5708 radians.
Other angle units
- Gradians: 400 to a circle, so a right angle is 100 grad. Used in some surveying.
- Arcminutes and arcseconds: 1° = 60′ = 3,600″. Used in astronomy, navigation and map coordinates.
- Turns: one full rotation.
Most programming languages and scientific calculators expect radians in trigonometric functions, a common source of bugs.
Frequently asked questions
How many radians is 180 degrees?
π radians, about 3.14159.
How many degrees is 1 radian?
About 57.2958 degrees.
How many arcseconds are in a degree?
3,600 arcseconds.
Last reviewed October 2026. Results are estimates; check important decisions with a qualified professional.