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Degrees to Radians Converter

Convert Degrees to Radians instantly: 1 degree = 0.01745329252 radians. Free degrees to radians converter with formula, chart and examples.

1 degree = 0.01745329252 radians

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How to Convert Degrees to Radians

The formula is radians = degrees × 0.01745329252. 1 degree = 0.01745329252 radians. Type any value in the converter above for an instant answer, or use the chart below for the most common values.

This page is preset for degree to radian conversions, but you can switch either list to any of the 14 units in the Angle Converter, or go the other way with the Radians to Degrees converter.

Degrees to Radians conversion chart

DegreesRadians
0.1 °0.0017453293 rad
0.25 °0.0043633231 rad
0.5 °0.0087266463 rad
1 °0.017453293 rad
2 °0.034906585 rad
3 °0.052359878 rad
4 °0.06981317 rad
5 °0.087266463 rad
6 °0.10471976 rad
7 °0.12217305 rad
8 °0.13962634 rad
9 °0.15707963 rad
10 °0.17453293 rad
11 °0.19198622 rad
12 °0.20943951 rad
13 °0.2268928 rad
14 °0.2443461 rad
15 °0.26179939 rad
16 °0.27925268 rad
17 °0.29670597 rad
18 °0.31415927 rad
19 °0.33161256 rad
20 °0.34906585 rad
25 °0.43633231 rad
30 °0.52359878 rad
40 °0.6981317 rad
50 °0.87266463 rad
60 °1.0471976 rad
70 °1.2217305 rad
75 °1.3089969 rad
80 °1.3962634 rad
90 °1.5707963 rad
100 °1.7453293 rad
150 °2.6179939 rad
200 °3.4906585 rad
250 °4.3633231 rad
500 °8.7266463 rad
1,000 °17.453293 rad

Common Degrees to Radians conversions

  • 1 degree = 0.01745329252 radians

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How to Use the Degrees to Radians Converter

  1. Type a value in the From box and choose its unit.
  2. Pick the unit you want in the To list — the result updates as you type.
  3. Use the swap button to reverse the conversion, or type in the To box to convert backwards.
  4. Check the All conversions table to see your value in every unit; click a row to make it the target.

Frequently Asked Questions

How many radians are in a degree?

There are 0.01745329252 radians in 1 degree. Going the other way, 1 radian = 57.29577951 degrees.

How do I convert Degrees to Radians?

Use the formula radians = degrees × 0.01745329252. For example, 1 degree = 0.01745329252 radians. Or type the value in the converter above and the answer appears as you type.

What is the Degrees to Radians formula?

radians = degrees × 0.01745329252 — the conversion factor is exact to the digits shown, using the international definitions of both units.

What is 2 degrees in radians?

2 degrees = 0.034906585 radians.

What is 5 degrees in radians?

5 degrees = 0.087266463 radians.

What is 10 degrees in radians?

10 degrees = 0.17453293 radians.

What is 25 degrees in radians?

25 degrees = 0.43633231 radians.

What is 100 degrees in radians?

100 degrees = 1.7453293 radians.

How do I convert Radians back to Degrees?

Use the swap button in the converter above, or open our Radians to Degrees converter. degrees = radians × 57.29577951.

Is this Degrees to Radians converter accurate?

Yes. It uses exact unit definitions and double-precision maths, and you can show up to 15 significant digits. The table below is calculated with the same formula.

Can I convert Degrees to other angle units?

Yes — pick any unit in the From and To lists above, or open the full Angle Converter, which handles 14 angle units.

Is the Degrees to Radians converter free?

Yes, it is free with no sign-up, and every conversion runs in your browser so nothing is sent to a server.