Convert between degrees, radians, gradians and more.
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How do you convert degrees to radians and other angle units?
Each angle is converted to degrees, then to the target unit. One radian = 180/π degrees ≈ 57.2958°, and one full turn = 360°. For example, 180 degrees = π radians ≈ 3.1416 rad = 200 gradians = 0.5 turn. Radians are the natural unit for trigonometry and calculus, while degrees are common in everyday geometry.
Understanding your result
Radians are the natural unit for trigonometry and calculus; degrees are common in everyday geometry; gradians divide a right angle into 100.
Formula and method
Each angle is converted to degrees, then to the target unit. One radian = 180/π degrees ≈ 57.2958°, and one full turn = 360°.
Worked example
180 degrees = π radians ≈ 3.1416 rad = 200 gradians = 0.5 turn.
How to use this tool
- Enter the angle.
- Choose the units to convert from and to.
- Read the result and the full unit table.
Common mistakes to avoid
- Using degrees where a formula expects radians (or vice versa).
About the Angle Converter
Convert an angle between degrees, radians, gradians and more. Enter a value and see every unit at once.
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Frequently asked questions
How many radians is 180 degrees?
180 degrees equals π radians, about 3.1416.
What is a gradian?
A gradian (gon) divides a right angle into 100 parts, so a full turn is 400 gradians.