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How do I convert radians to degrees?

Short answer

Multiply the number of radians by 180 divided by pi to get degrees, since pi radians equals 180 degrees. The browser-based angle converter does this instantly and also converts to gradians, arcminutes and turns, all in your browser with nothing uploaded.

The radian-to-degree formula

A full circle is 2 pi radians and also 360 degrees, so pi radians equals 180 degrees. To convert radians to degrees you multiply by 180 divided by pi. For example, pi over 2 radians is (pi over 2) times (180 over pi), which simplifies to 90 degrees. One radian is about 57.2958 degrees, which is why exact fractions of pi are the usual way to express angles in radians.

Convert any angle unit

The angle converter handles degrees, radians, gradians, arcminutes, arcseconds and full turns, using exact conversion factors and updating live as you type. That saves you from remembering each formula when you only need a quick answer. It runs entirely in your browser, so the angles you enter are never uploaded.

Step by step

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

Frequently asked questions

What is the formula for radians to degrees?

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

How many degrees is one radian?

One radian is about 57.2958 degrees.

Is anything uploaded?

No. The conversion runs in your browser and nothing is sent to a server.

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