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Radians to Degrees Converter

1 rad = 57.2958 ° (radian → degree)

1 rad = 57.2958 °

1 radian equals 57.2958 degrees. To convert radians to degrees, multiply the radian value by 57.2958. For quick reference: 1 rad = 57.2958 °, 5 rad = 286.479 °, 10 rad = 572.958 °, 100 rad = 5729.58 °.

57.2958
FormulaDegrees = Radians × 57.2958
Quick

How to convert radians to degrees

  1. Take your value

    Start with your value in radians.

  2. Multiply by 57.2958

    Multiply the radian value by 57.2958. This is the exact conversion factor from radians to degrees.

  3. Read the result

    The product is your value in degrees. For example, 5 rad × 57.2958 = 286.479 °.

Conversion formula

The exact factor from radians to degrees is 57.2958.

Degrees = Radians × 57.2958

Radians to Degrees conversion table

Fifty common reference values, hand-picked for skim utility. Use the calculator above for any value not listed.

Conversion table from radians to degrees
Radians (rad)Degrees (°)
0.1 rad5.7296 °
0.25 rad14.324 °
0.5 rad28.648 °
1 rad57.296 °
2 rad114.59 °
3 rad171.89 °
4 rad229.18 °
5 rad286.48 °
6 rad343.77 °
7 rad401.07 °
8 rad458.37 °
9 rad515.66 °
10 rad572.96 °
11 rad630.25 °
12 rad687.55 °
13 rad744.85 °
14 rad802.14 °
15 rad859.44 °
16 rad916.73 °
18 rad1031.3 °
20 rad1145.9 °
22 rad1260.5 °
24 rad1375.1 °
25 rad1432.4 °
28 rad1604.3 °
30 rad1718.9 °
32 rad1833.5 °
36 rad2062.6 °
40 rad2291.8 °
45 rad2578.3 °
48 rad2750.2 °
50 rad2864.8 °
60 rad3437.7 °
70 rad4010.7 °
75 rad4297.2 °
80 rad4583.7 °
90 rad5156.6 °
100 rad5729.6 °
125 rad7162 °
150 rad8594.4 °
200 rad11459 °
250 rad14324 °
300 rad17189 °
400 rad22918 °
500 rad28648 °
600 rad34377 °
750 rad42972 °
800 rad45837 °
900 rad51566 °
1000 rad57296 °

Real-world reference

A right angle is π/2 radians, about 1.5708 rad. A full circle is 2π radians, about 6.2832 rad. In degrees, that gives you: 1 rad = 57.2958 °, 10 rad = 572.958 °, 100 rad = 5729.58 °.

Frequently asked questions

How many degrees are in 1 radian?
1 radian equals 57.2958 degrees.
How do I convert radians to degrees?
Multiply the radian value by 57.2958. So x rad × 57.2958 = the equivalent in °.
What is 5 radians in degrees?
5 radians equals 286.479 degrees.
What is 10 radians in degrees?
10 radians equals 572.958 degrees.
What is 100 radians in degrees?
100 radians equals 5729.58 degrees.
How do I convert back from degrees to radians?
Multiply the degree value by 0.0174533. For example, 1 ° = 0.0174533 rad.
Is the radian bigger than the degree?
Yes. 1 radian is larger than 1 degree — specifically 57.2958 times larger.
Are these conversion factors exact?
The factor is derived directly from the SI definitions of radian and degree; the displayed value is rounded for readability, and the browser computes using IEEE 754 double-precision arithmetic.

About the radian and the degree

The radian

The radian (rad) is the SI unit of angle, defined as the angle subtended at the center of a circle by an arc equal in length to the radius. One full turn equals exactly 2π radians (≈6.2832 rad). It is the standard unit in mathematics, physics, and engineering calculations.

The degree

The degree (°) divides a full rotation into 360 equal parts, a convention traced to Babylonian sexagesimal astronomy. It is the everyday unit for angles in navigation, geography (latitude/longitude), construction, and general use.

Related converters

Degrees to Radians
° → rad
Arcminutes to Degrees
′ → °
Degrees to Arcminutes
° → ′
Arcseconds to Degrees
″ → °
Degrees to Arcseconds
° → ″
Arcseconds to Arcminutes
″ → ′

Sources