Convert Radians to Degrees

Enter your radian value in the form below to get the value calculated in degrees.

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1 rad = 57.29578°
1 rad = 57° 17′ 44.81″

How to Convert Radians to Degrees Using an Easy Conversion Formula

Protractors are often used to measure angle

Convert radians to degrees with this simple formula:

degrees = radians × 57.29578

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:
5 rad = (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 1 rad. A degree is an angle measurement and can be abbreviated as °, for example 1°.

Degrees can also be expressed using minutes and seconds as an alternative to using the decimal form. Minutes and seconds are expressed using the prime (′) and double-prime (″) characters, although a single-quote (') and double-quote (") are often used for convenience.

One minute is equal to 1/60th of a degree and one second is equal to 1/60th of a minute.

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

Radian Measurements and Equivalent Degree Conversions

Common radian values converted to the equivalent degree value
Radians Degrees
1 rad 57.3°
2 rad 114.59°
3 rad 171.89°
4 rad 229.18°
5 rad 286.48°
6 rad 343.77°
7 rad 401.07°
8 rad 458.37°
9 rad 515.66°
10 rad 572.96°
11 rad 630.25°
12 rad 687.55°
13 rad 744.85°
14 rad 802.14°
15 rad 859.44°
16 rad 916.73°
17 rad 974.03°
18 rad 1,031°
19 rad 1,089°
20 rad 1,146°
21 rad 1,203°
22 rad 1,261°
23 rad 1,318°
24 rad 1,375°
25 rad 1,432°
26 rad 1,490°
27 rad 1,547°
28 rad 1,604°
29 rad 1,662°
30 rad 1,719°
31 rad 1,776°
32 rad 1,833°
33 rad 1,891°
34 rad 1,948°
35 rad 2,005°
36 rad 2,063°
37 rad 2,120°
38 rad 2,177°
39 rad 2,235°
40 rad 2,292°

More Angle Conversions

Convert to Grad Angle
1 rad is equal to 63.661977 grad
Convert to Revolutions Angle
1 rad is equal to 0.159155 revolutions
Convert to Circles Angle
1 rad is equal to 0.159155 circles
Convert to Mils Angle
1 rad is equal to 1,018.59 mils