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How do I convert degrees to radians?

Short answer

Multiply the number of degrees by pi divided by 180 to get radians, since 180 degrees equals pi radians. The browser-based angle converter does this instantly and also handles gradians, arcminutes and turns, entirely in your browser.

The degree-to-radian formula

Because 180 degrees equals pi radians, converting degrees to radians means multiplying by pi divided by 180. For example, 90 degrees is 90 times (pi over 180), which simplifies to pi over 2 radians. A full turn of 360 degrees is 2 pi radians, and 45 degrees is pi over 4. Radians are the natural angle unit in calculus and physics because they make many formulas simpler.

One converter for every unit

The angle converter switches between degrees, radians, gradians, arcminutes, arcseconds and full turns using exact factors, updating live as you type. You can enter a value in one field and read all the others at once. It runs locally in your browser, so your input stays on your device.

Step by step

  1. Open the converter. Open the angle converter in your browser.
  2. Enter degrees. Type your angle into the degrees field.
  3. Read the radians. The equivalent in radians appears instantly.

Frequently asked questions

What is the formula for degrees to radians?

Multiply the degrees by pi divided by 180, because 180 degrees equals pi radians.

How many radians is a full circle?

A full circle of 360 degrees equals 2 pi radians.

Is my data private?

Yes. The conversion runs in your browser with nothing uploaded.

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