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Radians to Degrees Converter

Convert radians (rad) to degrees (°), with the formula, a conversion table and exact factors.

Change the values and press Calculate to work out your own figures.

Enter an angle, choose its unit and the unit you want. The answer is exact until it is shown, and the same value appears in every other unit.

About valueA number, fraction (3/8), mixed number (1 1/2), scientific notation (2.5e6) or a simple sum such as 2*3.
About toThe unit you want the answer in. Swap exchanges the two units.
Result
Result
57.2957795131 °
milliradians
1,000 mrad
minutes of arc
3,437.74677078 ′
seconds of arc
206,264.806247 ″
gradians (gons)
63.6619772368 gon
revolutions (turns)
0.159154943092 rev
mils (NATO, 6,400 per turn)
1,018.59163579 mil

1 rad = 57.2957795131 °

Show the working
  1. 1 rad = 57.2957795131 °
  2. 1 × 57.2957795131 = 57.2957795131 °

How to convert radians to degrees

1 rad = 57.2957795131 °, so multiply by 57.2957795131 to go from radians to degrees. Going the other way, 1 ° = 0.0174532925199 rad.

° = rad × 57.2957795131
rad = ° × 0.0174532925199

Worked example:

1 rad = 57.2957795131 °
5 × 57.2957795131 = 286.478897565 °

Radians to degrees table

RadiansDegrees
1 rad57.2957795131 °
2 rad114.591559026 °
3 rad171.887338539 °
4 rad229.183118052 °
5 rad286.478897565 °
6 rad343.774677078 °
7 rad401.070456592 °
8 rad458.366236105 °
9 rad515.662015618 °
10 rad572.957795131 °
15 rad859.436692696 °
20 rad1,145.91559026 °
25 rad1,432.39448783 °
30 rad1,718.87338539 °
40 rad2,291.83118052 °
50 rad2,864.78897565 °
75 rad4,297.18346348 °
100 rad5,729.57795131 °
250 rad14,323.9448783 °
500 rad28,647.8897565 °
1000 rad57,295.7795131 °

About the units

Degrees (°)
Degrees, a metric unit. Involves π, which no fraction equals exactly; this converter uses π to 50 significant digits, far beyond the 12 digits shown. Definition: BIPM SI Brochure, 9th edition (SI units, prefixes and units accepted for use with the SI).

Formula version 0.1.0Reviewed