Unit Converters

Angle Converter

Switch between degrees and radians for maths, CAD and navigation.

By TheCalcTools Updated Formula checked and tested

Your numbers

Your results

Degrees
Degrees
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Radians
—
Gradians
—
Arcminutes
—
Turns
—

Angle Converter by TheCalcTools

How the Angle Converter works

Enter an angle and select its unit.

All units pass through degrees.

π radians equals 180 degrees.

The formula

result = value × (factor of the ‘from’ unit ÷ factor of the ‘to’ unit)180° = π rad = 200 grad, 1 turn = 360°

Worked example

Using the default values shown in the calculator:

Value90
FromDegrees
  1. 90 Degrees equals 1.5708 Radians ; 100.0000 Gradians ; 5400.00 Arcminutes.

Result:

Degrees90.0000
Radians1.5708
Gradians100.0000
Arcminutes5400.00
Turns0.250000

Frequently asked questions

How many degrees is one radian?

About 57.2958°, which is 180 ÷ π.

What is a gradian?

A unit where a right angle is 100 grad, used in some surveying.

Sources and further reading

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This calculator gives estimates for information only. Check important results independently before you rely on them. See our disclaimer.