π

Degree-Radian Converter

Convert Degrees to Radians and Radians to Degrees Instantly. A fast, accurate, and easy-to-use angle conversion tool for students, teachers, engineers, and everyday calculations.

Angle Converter
Degrees to Radians
0 rad
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Popular Angles

How to Convert Angles

How to Convert Degrees to Radians

To convert an angle from degrees to radians, multiply the value by π and divide by 180.

radians = degrees × (π / 180)

Example: Convert 180° to radians.
180 × (π / 180) = π radians (approx. 3.141593 rad)

How to Convert Radians to Degrees

To convert an angle from radians to degrees, multiply the value by 180 and divide by π.

degrees = radians × (180 / π)

Example: Convert π/2 radians to degrees.
(π/2) × (180 / π) = 180 / 2 = 90°

Common Angle Conversions

Degrees (°) Radians (Symbolic) Radians (Decimal)
0°00.000000
30°π/60.523599
45°π/40.785398
60°π/31.047198
90°π/21.570796
180°π3.141593
270°3π/24.712389
360°2π6.283185

Frequently Asked Questions

A Degree-Radian Converter is a free online mathematical tool that allows you to easily convert angle measurements between degrees and radians instantly.
You multiply the degree value by Pi (π) and then divide the result by 180. The formula is: Radians = Degrees × (π / 180).
You multiply the radian value by 180 and then divide the result by Pi (π). The formula is: Degrees = Radians × (180 / π).
180 degrees is exactly equal to π (Pi) radians, which is approximately 3.141593 radians.
90 degrees is exactly equal to π/2 radians, which is approximately 1.570796 radians.
π (Pi) radians is exactly equal to 180 degrees.
Yes, this Degree-Radian Converter is a 100% free online utility tool.
Absolutely! The website features a responsive design that works perfectly on all devices, including smartphones and tablets.
The mathematical formula is: radians = degrees × π / 180.
Radians are used because they relate the angle directly to the arc length of a circle, simplifying many formulas in calculus, trigonometry, and engineering.
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