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Angle Converter

Convert any angle between degrees, radians, gradians and other angular units.

From

To

Result
0.017453rad
1 deg =
Radian0.017453 rad
Gradian1.111111 grad
Arcminute60 '
Arcsecond3,600 "
Turn0.002778 turn

About this calculator

An angle measures rotation between two rays. Degrees divide a full circle into 360 parts, while radians — the natural unit in mathematics — define a full circle as 2 pi radians. Gradians (or "gons") split a circle into 400 parts, and a turn is one complete revolution.

This converter uses the degree as its base unit. One radian equals 180/pi degrees (about 57.2958 deg), one gradian equals 0.9 degrees, and a full turn equals 360 degrees. Arcminutes and arcseconds are fine subdivisions of a degree used in astronomy and surveying.

Frequently asked questions

One radian equals 180/pi degrees, approximately 57.2958 degrees.

Multiply degrees by pi/180 (about 0.0174533) to get radians.

A gradian divides a right angle into 100 parts, so a full circle is 400 gradians and one gradian equals 0.9 degrees.

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