Angle Converter

Convert between degrees, radians, gradians, turns, arc minutes, and arc seconds.

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All Conversions

Degrees (°)180
Radians (rad)3.14159265
Gradians (gon)200
Turns0.5
Arc minutes (')10,800
Arc seconds (")648,000
Milliradians (mrad)3,141.59265359

Frequently Asked Questions

How many radians are in 180 degrees?
180 degrees equals exactly pi radians, which is approximately 3.14159 radians. This is one of the most fundamental angle conversions in mathematics.
What is a gradian?
A gradian (also called a gon) divides a right angle into 100 equal parts, so a full circle is 400 gradians. It is primarily used in surveying and some European countries.
How do you convert degrees to arc minutes?
Multiply the degree value by 60 to get arc minutes. Each degree contains 60 arc minutes, and each arc minute contains 60 arc seconds.