Convert Degrees to Radians

Enter your degree value in the form below to get the value calculated in radians.

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Results in Radians:
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1° = 0.017453 rad

How to Convert Degrees to Radians Using an Easy Conversion Formula

Protractors are often used to measure angle

Convert degrees to radians with this simple formula:

radians = degrees × 0.017453

Converting a degree angle measurement to a radian measurement involves multiplying your angle by the conversion ratio to find the result. A degree is equal to 0.017453 radians, so to convert simply multiply by 0.017453.

For example:
5° = (5 × 0.017453) = 0.087266 rad

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

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.

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

Degree Measurements and Equivalent Radian Conversions

Common degree values converted to the equivalent radian value
Degrees Radians
0.017453 rad
0.034907 rad
0.05236 rad
0.069813 rad
0.087266 rad
0.10472 rad
0.122173 rad
0.139626 rad
0.15708 rad
10° 0.174533 rad
11° 0.191986 rad
12° 0.20944 rad
13° 0.226893 rad
14° 0.244346 rad
15° 0.261799 rad
16° 0.279253 rad
17° 0.296706 rad
18° 0.314159 rad
19° 0.331613 rad
20° 0.349066 rad
21° 0.366519 rad
22° 0.383972 rad
23° 0.401426 rad
24° 0.418879 rad
25° 0.436332 rad
26° 0.453786 rad
27° 0.471239 rad
28° 0.488692 rad
29° 0.506145 rad
30° 0.523599 rad
31° 0.541052 rad
32° 0.558505 rad
33° 0.575959 rad
34° 0.593412 rad
35° 0.610865 rad
36° 0.628319 rad
37° 0.645772 rad
38° 0.663225 rad
39° 0.680678 rad
40° 0.698132 rad

More Angle Conversions

Convert to Grad Angle
1° is equal to 1.111111 grad
Convert to Revolutions Angle
1° is equal to 0.002778 revolutions
Convert to Circles Angle
1° is equal to 0.002778 circles
Convert to Mils Angle
1° is equal to 17.777778 mils