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Radians to Degrees Converter

A quick two-way rad ⇄ ° converter: type in either box, choose how many decimals you want and copy the answer with one click.

RadiansFrom

rad

DegreesTo

Decimal places

Step-by-step calculation

How to use the Radians to Degrees Converter

Type a value in the Radians box. The degrees result appears instantly.
Going the other way? Type in the Degrees 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.

Radians to degrees formula

° = rad × 57.29577951

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

Example: 1 rad × 57.29577951 = 57.2958 °.

Reverse formula (degrees to radians): rad = ° ÷ 57.29577951. Example: 90.0002 ° ÷ 57.29577951 = 1.5708 rad.

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

rad to ° conversion table (1–100)

Click any row to load it into the converter.

Radians to degrees

Radians	Degrees
1 rad	57.3 °
2 rad	114.59 °
3 rad	171.89 °
4 rad	229.18 °
5 rad	286.48 °
6 rad	343.77 °
7 rad	401.07 °
8 rad	458.37 °
9 rad	515.66 °
10 rad	572.96 °
11 rad	630.25 °
12 rad	687.55 °
13 rad	744.85 °
14 rad	802.14 °
15 rad	859.44 °
16 rad	916.73 °
17 rad	974.03 °
18 rad	1,031.32 °
19 rad	1,088.62 °
20 rad	1,145.92 °
21 rad	1,203.21 °
22 rad	1,260.51 °
23 rad	1,317.8 °
24 rad	1,375.1 °
25 rad	1,432.39 °
26 rad	1,489.69 °
27 rad	1,546.99 °
28 rad	1,604.28 °
29 rad	1,661.58 °
30 rad	1,718.87 °
31 rad	1,776.17 °
32 rad	1,833.46 °
33 rad	1,890.76 °
34 rad	1,948.06 °
35 rad	2,005.35 °
36 rad	2,062.65 °
37 rad	2,119.94 °
38 rad	2,177.24 °
39 rad	2,234.54 °
40 rad	2,291.83 °
41 rad	2,349.13 °
42 rad	2,406.42 °
43 rad	2,463.72 °
44 rad	2,521.01 °
45 rad	2,578.31 °
46 rad	2,635.61 °
47 rad	2,692.9 °
48 rad	2,750.2 °
49 rad	2,807.49 °
50 rad	2,864.79 °
51 rad	2,922.08 °
52 rad	2,979.38 °
53 rad	3,036.68 °
54 rad	3,093.97 °
55 rad	3,151.27 °
56 rad	3,208.56 °
57 rad	3,265.86 °
58 rad	3,323.16 °
59 rad	3,380.45 °
60 rad	3,437.75 °
61 rad	3,495.04 °
62 rad	3,552.34 °
63 rad	3,609.63 °
64 rad	3,666.93 °
65 rad	3,724.23 °
66 rad	3,781.52 °
67 rad	3,838.82 °
68 rad	3,896.11 °
69 rad	3,953.41 °
70 rad	4,010.7 °
71 rad	4,068 °
72 rad	4,125.3 °
73 rad	4,182.59 °
74 rad	4,239.89 °
75 rad	4,297.18 °
76 rad	4,354.48 °
77 rad	4,411.78 °
78 rad	4,469.07 °
79 rad	4,526.37 °
80 rad	4,583.66 °
81 rad	4,640.96 °
82 rad	4,698.25 °
83 rad	4,755.55 °
84 rad	4,812.85 °
85 rad	4,870.14 °
86 rad	4,927.44 °
87 rad	4,984.73 °
88 rad	5,042.03 °
89 rad	5,099.32 °
90 rad	5,156.62 °
91 rad	5,213.92 °
92 rad	5,271.21 °
93 rad	5,328.51 °
94 rad	5,385.8 °
95 rad	5,443.1 °
96 rad	5,500.39 °
97 rad	5,557.69 °
98 rad	5,614.99 °
99 rad	5,672.28 °
100 rad	5,729.58 °

Degrees to radians

Degrees	Radians
1 °	0.02 rad
2 °	0.03 rad
3 °	0.05 rad
4 °	0.07 rad
5 °	0.09 rad
6 °	0.1 rad
7 °	0.12 rad
8 °	0.14 rad
9 °	0.16 rad
10 °	0.17 rad
11 °	0.19 rad
12 °	0.21 rad
13 °	0.23 rad
14 °	0.24 rad
15 °	0.26 rad
16 °	0.28 rad
17 °	0.3 rad
18 °	0.31 rad
19 °	0.33 rad
20 °	0.35 rad
21 °	0.37 rad
22 °	0.38 rad
23 °	0.4 rad
24 °	0.42 rad
25 °	0.44 rad
26 °	0.45 rad
27 °	0.47 rad
28 °	0.49 rad
29 °	0.51 rad
30 °	0.52 rad
31 °	0.54 rad
32 °	0.56 rad
33 °	0.58 rad
34 °	0.59 rad
35 °	0.61 rad
36 °	0.63 rad
37 °	0.65 rad
38 °	0.66 rad
39 °	0.68 rad
40 °	0.7 rad
41 °	0.72 rad
42 °	0.73 rad
43 °	0.75 rad
44 °	0.77 rad
45 °	0.79 rad
46 °	0.8 rad
47 °	0.82 rad
48 °	0.84 rad
49 °	0.86 rad
50 °	0.87 rad
51 °	0.89 rad
52 °	0.91 rad
53 °	0.93 rad
54 °	0.94 rad
55 °	0.96 rad
56 °	0.98 rad
57 °	0.99 rad
58 °	1.01 rad
59 °	1.03 rad
60 °	1.05 rad
61 °	1.06 rad
62 °	1.08 rad
63 °	1.1 rad
64 °	1.12 rad
65 °	1.13 rad
66 °	1.15 rad
67 °	1.17 rad
68 °	1.19 rad
69 °	1.2 rad
70 °	1.22 rad
71 °	1.24 rad
72 °	1.26 rad
73 °	1.27 rad
74 °	1.29 rad
75 °	1.31 rad
76 °	1.33 rad
77 °	1.34 rad
78 °	1.36 rad
79 °	1.38 rad
80 °	1.4 rad
81 °	1.41 rad
82 °	1.43 rad
83 °	1.45 rad
84 °	1.47 rad
85 °	1.48 rad
86 °	1.5 rad
87 °	1.52 rad
88 °	1.54 rad
89 °	1.55 rad
90 °	1.57 rad
91 °	1.59 rad
92 °	1.61 rad
93 °	1.62 rad
94 °	1.64 rad
95 °	1.66 rad
96 °	1.68 rad
97 °	1.69 rad
98 °	1.71 rad
99 °	1.73 rad
100 °	1.75 rad

Common values

Radians	Degrees	Example
0.52 rad	30 °	π/6 (30°)
0.79 rad	45 °	π/4 (45°)
1 rad	57.3 °	1 radian
1.05 rad	60 °	π/3 (60°)
1.57 rad	90 °	π/2 (90°)
3.14 rad	180 °	π (180°)
4.71 rad	270 °	3π/2 (270°)
6.28 rad	360 °	2π (full turn)

About radians and degrees

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

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

Frequently asked questions

1 radian equals how many degrees?

One radian equals 57.2958 degrees.

How do you convert radians to degrees?

Multiply the number of radians by 57.29577951. For example, 1 rad × 57.29577951 = 57.2958 °.

What is 1.5708 radians in degrees?

1.5708 rad is 90.0002 ° (π/2 (90°)).

How do I convert degrees back to radians?

Divide by 57.29577951, or press the ⇄ swap button above. For example, 90.0002 ° ÷ 57.29577951 = 1.5708 rad.

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.

Is this converter free and private?

Yes. It is free with no sign-up, and every calculation runs in your browser, so nothing you type is sent to a server.

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