Angle Converter

Convert an angle between degrees, radians, gradians, and turns. The form has a Value field plus From Unit and To Unit selectors, then shows the converted angle and extra equivalents for the other supported units. Use it for trigonometry, programming, surveying-style angle checks, gear rotations, animation, and geometry.

How to use this calculator

Enter the numeric angle, choose its current unit, and select the unit you need. The default example converts 180 degrees to radians. Values outside one full rotation are valid: 720 degrees is two turns, and negative angles simply rotate in the opposite direction.

Conversion formula

The calculator converts every input through radians:

$degrees\ to\ radians = degrees × \pi \div 180$

$gradians\ to\ radians = gradians × \pi \div 200$

$turns\ to\ radians = turns × 2\pi$

For example, 180 degrees times π divided by 180 equals π radians. A quarter turn is 0.25 turns, which equals 90 degrees, 100 gradians, or about 1.570796 radians.

Common references

Radians are common in code and physics, while degrees are easier for everyday measurement. For related geometry work, try the circle calculator, half-angle calculator, or solar panel angle calculator.