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Angle Converter
Result
Degrees
45°
Radians
0.785398 rad
Gradians
50 gon
Turns
0.125 turn
Angle preview
Visual position of the normalized angle on a circle.
Quadrant I
How it works
Convert angles between degrees, radians, gradians and turns. Use the visual preview to understand where the angle sits on the circle.
Practical examples
Convert 45 degrees to radians
45° is a common unit-circle angle and equals π/4 radians.
Try this example →
Convert π radians to degrees
Use 3.1415926536 radians to get approximately 180 degrees.
Try this example →
Convert half a turn
0.5 turns equals 180 degrees, π radians and 200 gradians.
Try this example →
Right angle
90° equals π/2 radians, 100 gradians and 0.25 turns.
Try this example →
FAQ
How do I convert degrees to radians?
Multiply degrees by π and divide by 180. For example, 45° equals π/4 radians, about 0.785398.
What is a turn?
A turn represents a full rotation. 1 turn equals 360 degrees, 2π radians and 400 gradians.
Why is the preview normalized?
The visual preview maps the angle inside a single 0°–360° circle, so values like 450° are displayed at the same position as 90°.
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