Convert between degrees, radians, gradians, arcminutes, arcseconds and turns. Instant results.
To convert degrees to radians, multiply by π/180 (approximately 0.017453). For example, 180° = π radians ≈ 3.14159 radians, and 90° = π/2 radians ≈ 1.5708 radians.
To convert radians to degrees, multiply by 180/π (approximately 57.2958). For example, 1 radian = 57.2958°, and π radians = 180°.
A gradian (also called grad or gon) divides a right angle into 100 parts, so a full circle = 400 gradians. Gradians are used in surveying and civil engineering. 1 gradian = 0.9 degrees = π/200 radians.
An arcminute (or minute of arc) is 1/60 of a degree. It is used in navigation, astronomy, and optics. The symbol is ′. 1° = 60 arcminutes. The angular diameter of the full moon is about 30 arcminutes.
A full turn (one full rotation) equals exactly 360 degrees, 2π radians (≈6.2832 rad), 400 gradians, or 21,600 arcminutes.