Angle Converter

Angles are measured in degrees in daily use, radians in maths and physics, and gradians in some surveying. Arcminutes and arcseconds measure very small angles.

Results update as you type.

90 ° in radians

1.57079633 rad

90 ° in every unit

90 ° in every unit
UnitValue
Degrees90
Radians1.57079633
Gradians100
Arcminutes5,400
Arcseconds3,24,000
Turns0.25

About this calculator

Enter an angle and choose the units.

How to use it

  1. Enter the value.
  2. Choose the unit it is in and the unit you want.
  3. Read the result, or see every unit in the table.

The formula

Radians = degrees × π ÷ 180
360°
2π radians = 400 gradians = 1 turn
1°
60 arcminutes = 3,600 arcseconds

Worked example

A right angle

  1. 90° = π ÷ 2 = 1.5708 rad.
  2. = 100 gradians.
  3. = 0.25 turn.

What the result means

The factors are exact international definitions, so results are as accurate as the digits shown.

Assumptions

  • Plane angles.

Limitations

  • None beyond rounding.

Frequently asked questions

How many radians in 180°?

π, about 3.1416.

How do I convert radians to degrees?

Multiply by 180 and divide by π.

What is a gradian?

1/400 of a turn, so a right angle is 100 gradians.

Last reviewed on 3 October 2026. Found a mistake? Tell us.