Degrees ↔ Radians Converter
Enter an angle in degrees or radians to see it converted to the other unit.
Degrees
180
Radians
3.14159
How degree-radian conversion works
A full circle is 360 degrees or 2π radians, so 1 degree equals π/180 radians (≈0.017453), and 1 radian equals 180/π degrees (≈57.2958).
Radians are the standard angle unit in mathematics and physics because they make many formulas simpler — for instance, the arc length of a circle is just radius × angle in radians, with no extra conversion factor needed.
Frequently asked questions
How do I convert degrees to radians?
Multiply the number of degrees by π/180 (approximately 0.017453).
How do I convert radians to degrees?
Multiply the number of radians by 180/π (approximately 57.2958).
Why is π radians equal to 180 degrees?
A full circle is 2π radians and 360 degrees, so half a circle (a straight line, or 180°) is exactly π radians.
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