Radians to degrees
degrees = radians × 180 ÷ π
Angle Converter
Convert degrees, radians, and gradians instantly.
Converted values
Enter a valid angle
Angle units describe rotation with different reference scales
Degrees divide a full turn into 360 parts, radians relate arc length to radius, and gradians divide a full turn into 400 parts. Enter one value and this converter shows all three units at once for math, engineering, mapping, or survey work.
Formulas
Gradians to degrees
degrees = gradians × 0.9
Degrees to other units
radians = degrees × π ÷ 180, gradians = degrees ÷ 0.9
How to use
- Enter the angle value.
- Choose the input unit: deg, rad, or grad.
- Read the degree, radian, and gradian results instantly.
Frequently asked questions
How many radians are in 180 degrees?
180 degrees equals π radians, or about 3.14159 rad.
How many degrees are in 100 gradians?
Since 400 gradians equal 360 degrees, 100 gradians equal 90 degrees.
When should I use radians?
Radians are standard in trigonometry, calculus, and physics because they connect rotation directly to arc length.
This tool is for general arithmetic. For official figures, confirm with the relevant authority.