📐Angle Converter

Convert between degrees, radians, gradians, and turns.

From

Common Conversions (Degrees)

Degrees (°)	Radians	Gradians
0	0	0
30	0.523599	33.3333
45	0.785398	50
60	1.0472	66.6667
90	1.5708	100
180	3.14159	200
270	4.71239	300
360	6.28319	400

About Angle Converter

Convert between angle units including degrees, radians, gradians (grads), and turns. One full circle equals 360 degrees, 2π radians (approximately 6.2832), 400 gradians, or 1 turn. Radians are the standard unit in mathematics and physics, while degrees are more common in everyday geometry.

How to Use Angle Converter

1
Enter an angle value
Type the angle amount in the unit you want to convert from.
2
Select the unit
Choose degrees, radians, gradians, or turns as the source unit.
3
Read the conversions
All equivalent angle values in other units appear instantly.

Common Use Cases

Converting degrees to radians for math and programming
Trigonometry calculations in physics and engineering
Surveying and navigation angle conversions
Understanding angles in graphics and game development

Frequently Asked Questions

How many radians are in 180 degrees?

180 degrees equals exactly π radians (approximately 3.14159 radians).

How do I convert degrees to radians?

Multiply degrees by π/180 (approximately 0.01745) to get radians. For example, 90° × π/180 = π/2 ≈ 1.5708 radians.

What is a gradian?

A gradian (or grad) divides a right angle into 100 equal parts, so a full circle is 400 gradians. Used mainly in surveying and some European countries.