Angle Converter
About Angle Converter
What Is an Angle Converter?
An angle converter transforms angular measurements between different units. Degrees are the most common unit for everyday use, radians are standard in mathematics and physics, gradians are used in surveying, and turns represent complete rotations. This converter also handles arcminutes and arcseconds used in astronomy and navigation.
Angle Unit Relationships
A full rotation equals: 360 degrees = 2pi radians = 400 gradians = 1 turn. Therefore: 1 degree = pi/180 radians = 10/9 gradians, 1 radian = 180/pi degrees = 57.2958 degrees, 1 gradian = 0.9 degrees. Arcminutes and arcseconds subdivide degrees: 1 degree = 60 arcminutes = 3600 arcseconds.
How to Use This Converter
Enter an angle value, select the source unit and target unit, then click Convert. Results for all units are shown simultaneously.
Frequently Asked Questions
How do I convert degrees to radians?
Multiply degrees by pi/180. Example: 90 degrees = 90 x pi/180 = pi/2 radians = 1.5708 radians.
Why do mathematicians use radians?
Radians simplify calculus formulas. The derivative of sin(x) is cos(x) only when x is in radians. In degrees, extra conversion factors would be needed.
What is a gradian?
A gradian (also called gon or grad) divides a right angle into 100 parts. A full circle has 400 gradians. It is primarily used in surveying and civil engineering.
