Convert degrees to radians

The calculator allows you to convert degrees to radians.

Perform the reverse calculation: convert radians to degrees

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

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

Example 1

We are going to convert an angle a of 90° to radians.
Angle a = 90°
1° = pi /180 radian
a = 90° = 90 x pi / 180 = 90 x 3.14159 / 180 = 1.57 rad

Other examples

Here are five other examples of converting degrees to radians:

Convert 30 degrees to radians:
radians = (π/180) x degrees = (π/180) x 30 = 0.52 rad

Convert 60 degrees to radians:
radians = (π/180) x degrees = (π/180) x 60 = 1.05 rad

Convert 120 degrees to radians:
radians = (π/180) x degrees = (π/180) x 120 = 2.09 rad

Convert 270 degrees to radians:
radians = (π/180) x degrees = (π/180) x 270 = 4.71 rad

Convert 360 degrees to radians:
radians = (π/180) x degrees = (π/180) x 360 = 6.28 rad

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

Degrees (deg)	Radians (rad)
1	0.02
2	0.03
3	0.05
4	0.07
5	0.09
6	0.10
7	0.12
8	0.14
9	0.16
10	0.17
11	0.19
12	0.21
13	0.23
14	0.24
15	0.26
16	0.28
17	0.30
18	0.31
19	0.33
20	0.35
21	0.37
22	0.38
23	0.40
24	0.42
25	0.44
26	0.45
27	0.47
28	0.49
29	0.51
30	0.52
31	0.54
32	0.56
33	0.58
34	0.59
35	0.61
36	0.63
37	0.64
38	0.66
39	0.68
40	0.70
41	0.71
42	0.73
43	0.75
44	0.77
45	0.79
46	0.80
47	0.82
48	0.84
49	0.85
50	0.87
51	0.89
52	0.91
53	0.92
54	0.94
55	0.96
56	0.98
57	0.99
58	1.01
59	1.03
60	1.05
70	1.22
80	1.40
90	1.57
100	1.75
110	1.92
120	2.09
130	2.27
140	2.44
150	2.62
160	2.79
170	2.97
180	3.14
190	3.32
200	3.49
210	3.67
220	3.84
230	4.02
240	4.19
250	4.37
260	4.54
270	4.71
280	4.89
290	5.06
300	5.24
310	5.41
320	5.58
330	5.76
340	5.93
350	6.11
360	6.28

The table shows the conversion values between degrees and radians. The first column lists the degree values, while the second column lists the equivalent radian values. To use the table, simply look for the degree value in the first column and then read the corresponding radian value in the second column. For example, if you want to convert 45 degrees to radians, you would look for 45 in the first column and then read the value of 0.79 in the second column.

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".

Radians (rad)

Radians are a unit of measurement for angles in trigonometry and mathematics. The unit "radian" is often abbreviated as "rad". 1 radian is equal to 180/π degrees. Angles can be measured in units of degrees or radians.