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Degrees to Radians Converter

Type a value in degrees to get radians instantly, or type in the radians box to convert back. The formula with your number, related units and full tables are below.

DegreesFrom

RadiansTo

rad

Decimal places

Step-by-step calculation

How to use the Degrees to Radians Converter

Type a value in the Degrees box. The radians result appears instantly.
Going the other way? Type in the Radians box, or press the ⇄ swap button.
Set the precision with the decimal places menu.
Check the working in the step-by-step box, then press Copy result or click any row in the tables below.

Degrees to radians formula

rad = ° ÷ 57.29577951

Take the value in degrees.
Divide it by 57.29577951 (the number of degrees in one radian).

Example: 90 ° ÷ 57.29577951 = 1.5708 rad.

Reverse formula (radians to degrees): ° = rad × 57.29577951. Example: 1.0472 rad × 57.29577951 = 60 °.

Quick mental estimate: divide by about 57. For exact answers use the converter above.

° to rad conversion table (1–100)

Click any row to load it into the converter.

Degrees to radians

Degrees	Radians
1 °	0.0175 rad
2 °	0.0349 rad
3 °	0.0524 rad
4 °	0.0698 rad
5 °	0.0873 rad
6 °	0.1047 rad
7 °	0.1222 rad
8 °	0.1396 rad
9 °	0.1571 rad
10 °	0.1745 rad
11 °	0.192 rad
12 °	0.2094 rad
13 °	0.2269 rad
14 °	0.2443 rad
15 °	0.2618 rad
16 °	0.2793 rad
17 °	0.2967 rad
18 °	0.3142 rad
19 °	0.3316 rad
20 °	0.3491 rad
21 °	0.3665 rad
22 °	0.384 rad
23 °	0.4014 rad
24 °	0.4189 rad
25 °	0.4363 rad
26 °	0.4538 rad
27 °	0.4712 rad
28 °	0.4887 rad
29 °	0.5061 rad
30 °	0.5236 rad
31 °	0.5411 rad
32 °	0.5585 rad
33 °	0.576 rad
34 °	0.5934 rad
35 °	0.6109 rad
36 °	0.6283 rad
37 °	0.6458 rad
38 °	0.6632 rad
39 °	0.6807 rad
40 °	0.6981 rad
41 °	0.7156 rad
42 °	0.733 rad
43 °	0.7505 rad
44 °	0.7679 rad
45 °	0.7854 rad
46 °	0.8029 rad
47 °	0.8203 rad
48 °	0.8378 rad
49 °	0.8552 rad
50 °	0.8727 rad
51 °	0.8901 rad
52 °	0.9076 rad
53 °	0.925 rad
54 °	0.9425 rad
55 °	0.9599 rad
56 °	0.9774 rad
57 °	0.9948 rad
58 °	1.0123 rad
59 °	1.0297 rad
60 °	1.0472 rad
61 °	1.0647 rad
62 °	1.0821 rad
63 °	1.0996 rad
64 °	1.117 rad
65 °	1.1345 rad
66 °	1.1519 rad
67 °	1.1694 rad
68 °	1.1868 rad
69 °	1.2043 rad
70 °	1.2217 rad
71 °	1.2392 rad
72 °	1.2566 rad
73 °	1.2741 rad
74 °	1.2915 rad
75 °	1.309 rad
76 °	1.3265 rad
77 °	1.3439 rad
78 °	1.3614 rad
79 °	1.3788 rad
80 °	1.3963 rad
81 °	1.4137 rad
82 °	1.4312 rad
83 °	1.4486 rad
84 °	1.4661 rad
85 °	1.4835 rad
86 °	1.501 rad
87 °	1.5184 rad
88 °	1.5359 rad
89 °	1.5533 rad
90 °	1.5708 rad
91 °	1.5882 rad
92 °	1.6057 rad
93 °	1.6232 rad
94 °	1.6406 rad
95 °	1.6581 rad
96 °	1.6755 rad
97 °	1.693 rad
98 °	1.7104 rad
99 °	1.7279 rad
100 °	1.7453 rad

Radians to degrees

Radians	Degrees
1 rad	57.2958 °
2 rad	114.5916 °
3 rad	171.8873 °
4 rad	229.1831 °
5 rad	286.4789 °
6 rad	343.7747 °
7 rad	401.0705 °
8 rad	458.3662 °
9 rad	515.662 °
10 rad	572.9578 °
11 rad	630.2536 °
12 rad	687.5494 °
13 rad	744.8451 °
14 rad	802.1409 °
15 rad	859.4367 °
16 rad	916.7325 °
17 rad	974.0283 °
18 rad	1,031.324 °
19 rad	1,088.6198 °
20 rad	1,145.9156 °
21 rad	1,203.2114 °
22 rad	1,260.5071 °
23 rad	1,317.8029 °
24 rad	1,375.0987 °
25 rad	1,432.3945 °
26 rad	1,489.6903 °
27 rad	1,546.986 °
28 rad	1,604.2818 °
29 rad	1,661.5776 °
30 rad	1,718.8734 °
31 rad	1,776.1692 °
32 rad	1,833.4649 °
33 rad	1,890.7607 °
34 rad	1,948.0565 °
35 rad	2,005.3523 °
36 rad	2,062.6481 °
37 rad	2,119.9438 °
38 rad	2,177.2396 °
39 rad	2,234.5354 °
40 rad	2,291.8312 °
41 rad	2,349.127 °
42 rad	2,406.4227 °
43 rad	2,463.7185 °
44 rad	2,521.0143 °
45 rad	2,578.3101 °
46 rad	2,635.6059 °
47 rad	2,692.9016 °
48 rad	2,750.1974 °
49 rad	2,807.4932 °
50 rad	2,864.789 °
51 rad	2,922.0848 °
52 rad	2,979.3805 °
53 rad	3,036.6763 °
54 rad	3,093.9721 °
55 rad	3,151.2679 °
56 rad	3,208.5637 °
57 rad	3,265.8594 °
58 rad	3,323.1552 °
59 rad	3,380.451 °
60 rad	3,437.7468 °
61 rad	3,495.0426 °
62 rad	3,552.3383 °
63 rad	3,609.6341 °
64 rad	3,666.9299 °
65 rad	3,724.2257 °
66 rad	3,781.5214 °
67 rad	3,838.8172 °
68 rad	3,896.113 °
69 rad	3,953.4088 °
70 rad	4,010.7046 °
71 rad	4,068.0003 °
72 rad	4,125.2961 °
73 rad	4,182.5919 °
74 rad	4,239.8877 °
75 rad	4,297.1835 °
76 rad	4,354.4792 °
77 rad	4,411.775 °
78 rad	4,469.0708 °
79 rad	4,526.3666 °
80 rad	4,583.6624 °
81 rad	4,640.9581 °
82 rad	4,698.2539 °
83 rad	4,755.5497 °
84 rad	4,812.8455 °
85 rad	4,870.1413 °
86 rad	4,927.437 °
87 rad	4,984.7328 °
88 rad	5,042.0286 °
89 rad	5,099.3244 °
90 rad	5,156.6202 °
91 rad	5,213.9159 °
92 rad	5,271.2117 °
93 rad	5,328.5075 °
94 rad	5,385.8033 °
95 rad	5,443.0991 °
96 rad	5,500.3948 °
97 rad	5,557.6906 °
98 rad	5,614.9864 °
99 rad	5,672.2822 °
100 rad	5,729.578 °

Common values

Degrees	Radians	Example
1 °	0.02 rad	1°
15 °	0.26 rad	15°
30 °	0.52 rad	30°
45 °	0.79 rad	45°
57.3 °	1 rad	1 radian
60 °	1.05 rad	60°
90 °	1.57 rad	Right angle
120 °	2.09 rad	120°
180 °	3.14 rad	Straight angle
270 °	4.71 rad	270°
360 °	6.28 rad	Full turn

About degrees and radians

Degrees (°). A degree is 1/360 of a full turn. It is the everyday unit for angles in geometry, maps and construction.

Radians (rad). The radian is the SI unit of angle: the angle whose arc length equals the radius. A full turn is 2π radians.

Frequently asked questions

How many radians are in a degree?

One degree equals 0.0174533 radians. Looking at it the other way, one radian is 57.2958 degrees.

How do you convert degrees to radians?

Divide the number of degrees by 57.29577951. For example, 90 ° ÷ 57.29577951 = 1.5708 rad.

What is 60 degrees in radians?

60 ° is 1.0472 rad (60°).

How do I convert radians back to degrees?

Multiply by 57.29577951, or press the ⇄ swap button above. For example, 1.0472 rad × 57.29577951 = 60 °.

Why use radians?

Radians make calculus and physics formulas simpler: the arc length is radius × angle, and functions like sin(x) ≈ x for small x only work in radians. JavaScript, Excel and most programming languages expect radians.

Does this converter work offline?

Once the page has loaded, the conversion runs entirely in your browser, so it keeps working without a connection. It is free and needs no sign-up.

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