Protractors are often used to measure angle

Convert Radians to Degrees

Convert from radians to degrees with this simple formula:
degrees = radians × 57.29578
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1 Radian = 57.29578 Degrees

Learn How to Convert Radians to Degrees Using our Conversion Formula

Converting a radian angle measurement to a degree measurement involves multiplying your angle by the conversion ratio to find the result. A radian is equal to 57.29578 degrees, so to convert simply multiply by 57.29578.

For example, 5rad = (5 × 57.29578) = 286.478898°.

Radians and degrees are both units used to measure angle. Learn more about angle and find more angle measurement conversion calculators. A radian is an angle measurement and can be abbreviated as rad, for example 1rad. A degree is an angle measurement and can be abbreviated as °, for example 1°.

There are 360 degrees in a revolution, or circle. 360 has 24 divisors, and is easily divided by 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120 and 180. This makes it a fairly easy number to work with. There are also 360 days in the Persian calendar year, and many theorize that early astronomers used 1 degree per day. Protractors are commonly used to measure angles in degrees. They are semi-circle or full-circle devices with degree markings allowing a user to measure an angle in degrees. Learn more about how to use a protractor or download a printable protractor.

A radian is the measurement of the angle from the start to the end of an arc equal to the radius of the circle. 1 radian is equal to 180/π, or about 57.29578°. There are about 6.28318 radians in a circle. The radian is the standard SI unit of measurement for an angle.

radians and degrees are units used to measure angle
Convert Degrees to Radians

More Angle Conversions

Convert to Grad Angle
1rad is equal to 63.661977 grad
Convert to Revolutions Angle
1rad is equal to 0.159155 revolutions
Convert to Circles Angle
1rad is equal to 0.159155 circles
Convert to Mils Angle
1rad is equal to 1,019 mils

Radian Measurements and Equivalent Degree Conversions

Common radian values converted to the equivalent degree value
Radians Degrees Radians Degrees Radians Degrees
1 57.3 21 1,203 41 2,349
2 114.59 22 1,261 42 2,406
3 171.89 23 1,318 43 2,464
4 229.18 24 1,375 44 2,521
5 286.48 25 1,432 45 2,578
6 343.77 26 1,490 46 2,636
7 401.07 27 1,547 47 2,693
8 458.37 28 1,604 48 2,750
9 515.66 29 1,662 49 2,807
10 572.96 30 1,719 50 2,865
11 630.25 31 1,776 51 2,922
12 687.55 32 1,833 52 2,979
13 744.85 33 1,891 53 3,037
14 802.14 34 1,948 54 3,094
15 859.44 35 2,005 55 3,151
16 916.73 36 2,063 56 3,209
17 974.03 37 2,120 57 3,266
18 1,031 38 2,177 58 3,323
19 1,089 39 2,235 59 3,380
20 1,146 40 2,292 60 3,438