Convert radians to degrees


Angle (radians):
Angle (degrees):

The calculator allows you to convert radians to degrees.

Perform the reverse calculation: convert degrees to radians

1 radian = 180 / pi degrees or approximately 57.2958 degrees
where pi (π) is the mathematical constant equal to approximately 3.14159
1 degree or 1° = pi /180 radian or approximately 0.01745 radian

To convert radians to degrees, multiply by 180 / pi. Pi (π) is the mathematical constant equal to approximately 3.14159.

Example 1

We are going to convert an angle a of 2 radians to degrees.
Angle a = 2 rad
1 rad = 180 / pi degrees
a = 2 rad = 2 x 180 / pi = 2 x 180 / 3.14159 = 114.59°

Other examples

Here are 2 other examples of converting radians to degrees using the formula:
degrees = radians x (180 / pi)
where pi is the mathematical constant approximately equal to 3.14159.

Convert 5.5 radians to degrees: degrees = 5.5 x (180 / pi) = 315.13°

Convert 0.5 radians to degrees:
degrees = 0.5 x (180 / pi) = 28.65°

A conversion table for radians (rad) to degrees (deg)

Radians (rad) Degrees (deg)
0 0
0.1 5.73
0.2 11.46
0.3 17.19
0.4 22.92
0.5 28.65
0.6 34.38
0.7 40.11
0.8 45.84
0.9 51.57
1 57.30
1.1 63.03
1.2 68.75
1.3 74.48
1.4 80.21
1.5 85.94
1.6 91.67
1.7 97.40
1.8 103.13
1.9 108.86
2 114.59
2.5 143.24
3 171.89
3.5 200.54
4 229.18
4.5 257.83
5 315.13
5.5 343.78
6 372.42
6.5 401.07
7 429.72
7.5 458.37
8 487.02
8.5 515.67
9 544.31
9.5 572.96
10 601.61

The table shows the conversion of angles measured in radians to degrees. Each row represents a different angle measurement in radians, and the columns display the corresponding degree measurement. For example, if you look at the first row, you can see that an angle of 0.1 radians is equivalent to 5.73 degrees. Similarly, the second row shows that an angle of 0.2 radians is equivalent to 11.46 degrees. You can use this table as a reference when you need to convert an angle measured in radians to degrees or vice versa.

Radians (rad)

Radians are a unit of measurement for angles in trigonometry and mathematics. The unit "radian" is often abbreviated as "rad".

Degrees (deg)

Degrees are a unit of measurement for angles in mathematics and geometry. A degree is defined as 1/360th of the angle traced out by a complete circle. It is represented by the symbol °. An angle measured in degrees can range from 0° to 360°, with 0° representing a complete revolution or a straight line, and 360° representing a complete circle. "Deg" is often used as an abbreviation for "degrees".