How do I convert degrees to radians?

Multiply by π/180. So 180° = π radians ≈ 3.14159, and 90° = π/2 ≈ 1.5708 radians.

A gradian (or gon) divides a right angle into 100 parts, so a full circle is 400 gradians. It is used in some surveying and European engineering contexts.

What are arcminutes and arcseconds?

They subdivide a degree: 1 degree = 60 arcminutes, and 1 arcminute = 60 arcseconds. Astronomers use them to describe tiny angles in the sky.

Angle Converter

Convert angle units — degrees, radians, gradians, turns, and arcminutes/arcseconds. For math, engineering, and astronomy.

Converters

Degree °

Radian rad

Gradian grad

Turn turn

Arcminute ′

Arcsecond ″

About the angle converter

Degrees are everyday; radians are the natural unit for mathematics and physics (a full circle is 2π radians). Gradians divide the circle into 400, turns measure whole rotations, and arcminutes/arcseconds subdivide degrees for astronomy and precise navigation.

Conversion reference

1 °	=	1 °	Degree
1 °	=	0.017453293 rad	Radian
1 °	=	1.1111111 grad	Gradian
1 °	=	0.0027777778 turn	Turn
1 °	=	60 ′	Arcminute
1 °	=	3600 ″	Arcsecond

All conversions run entirely in your browser — nothing is sent to a server. Factors are exact wherever an exact definition exists.