How many radians in 1 degree?

1 degree equals 0.0174533 radian

All In One Units Converter



























To calculate a degree value to the corresponding value in radian, just multiply the quantity in degree by 0.017453292519943 (the conversion factor). Here is the formula:

Value in radians = value in degree × 0.017453292519943

Suppose you want to convert 1 degree into radians. Using the conversion formula above, you will get:

Value in radian = 1 × 0.017453292519943 = 0.0174533 radian

Definition of Degree

1 degree of arc is defined as 1/360 of a revolution. In SI units 1° is π/180 radians.

Definition of Radian

Radian describes the plane angle subtended by a circular arc as the length of the arc divided by the radius of the arc. One radian is the angle subtended at the center of a circle by an arc that is equal in length to the radius of the circle

This converter can help you to get answers to questions like:

  • How many degrees are in 1 radians?
  • 1 degrees is equal to how many radians?
  • How much is 1 degree in radians?
  • How to convert degrees to radians?
  • What is the conversion factor to convert from degrees to radians?
  • How to transform degrees in radians?
  • What is the formula to convert from degrees to radians? Among others.

Degrees to radians conversion table

The table below contains pairs of values from degrees to radians ranging from one to one hundred thousand.

Degrees to radians table
0 to 100

Degrees to radians
0 deg = 0 rad
0.1 deg = 0.001745 rad
1/5 deg = 0.003491 rad
0.3 deg = 0.005236 rad
0.4 deg = 0.006981 rad
1/2 deg = 0.008727 rad
0.6 deg = 0.01047 rad
0.7 deg = 0.01222 rad
0.8 deg = 0.01396 rad
0.9 deg = 0.01571 rad
1 deg = 0.01745 rad
2 deg = 0.03491 rad
3 deg = 0.05236 rad
4 deg = 0.06981 rad
5 deg = 0.08727 rad
6 deg = 0.1047 rad
7 deg = 0.1047 rad
8 deg = 0.1396 rad
9 deg = 0.1571 rad
10 deg = 0.1745 rad
20 deg = 0.3491 rad
30 deg = 0.5236 rad
40 deg = 0.6981 rad
50 deg = 0.8727 rad
60 deg = 1.047 rad
70 deg = 1.222 rad
80 deg = 1.396 rad
90 deg = 1.571 rad
100 deg = 1.745 rad

Degrees to radians table
100 to 1000000

Degrees to radians
100 deg = 1.745 rad
200 deg = 3.491 rad
300 deg = 5.236 rad
400 deg = 6.981 rad
500 deg = 8.727 rad
600 deg = 10.47 rad
700 deg = 12.22 rad
800 deg = 13.96 rad
900 deg = 15.71 rad
1000 deg = 17.45 rad
2000 deg = 34.91 rad
3000 deg = 52.36 rad
4000 deg = 69.81 rad
5000 deg = 87.27 rad
6000 deg = 104.7 rad
7000 deg = 122.2 rad
8000 deg = 139.6 rad
9000 deg = 157.1 rad
10000 deg = 174.5 rad
20000 deg = 349.1 rad
30000 deg = 523.6 rad
40000 deg = 698.1 rad
50000 deg = 872.7 rad
60000 deg = 1047 rad
70000 deg = 1222 rad
80000 deg = 1396 rad
90000 deg = 1571 rad
100000 deg = 1745 rad
1000000 deg = 17450 rad

Radians to degrees table
0 to 1

Radians to degrees
0 rad = 0 deg
0.001 rad = 0.0573 deg
0.002 rad = 0.1146 deg
0.003 rad = 0.1719 deg
0.004 rad = 0.2292 deg
0.005 rad = 0.2865 deg
0.006 rad = 0.3438 deg
0.007 rad = 0.4011 deg
0.008 rad = 0.4584 deg
0.009 rad = 0.5157 deg
0.01 rad = 0.573 deg
0.02 rad = 1.146 deg
0.03 rad = 1.719 deg
0.04 rad = 2.292 deg
0.05 rad = 2.865 deg
0.06 rad = 3.438 deg
0.07 rad = 3.438 deg
0.08 rad = 4.584 deg
0.09 rad = 5.157 deg
0.1 rad = 5.73 deg
1/5 rad = 11.46 deg
0.3 rad = 17.19 deg
0.4 rad = 22.92 deg
1/2 rad = 28.65 deg
0.6 rad = 34.38 deg
0.7 rad = 40.11 deg
0.8 rad = 45.84 deg
0.9 rad = 51.57 deg
1 rad = 57.3 deg

Radians to degrees table
1 to 10000

Radians to degrees
1 rad = 57.3 deg
2 rad = 114.6 deg
3 rad = 171.9 deg
4 rad = 229.2 deg
5 rad = 286.5 deg
6 rad = 343.8 deg
7 rad = 401.1 deg
8 rad = 458.4 deg
9 rad = 515.7 deg
10 rad = 573 deg
20 rad = 1146 deg
30 rad = 1719 deg
40 rad = 2292 deg
50 rad = 2865 deg
60 rad = 3438 deg
70 rad = 4011 deg
80 rad = 4584 deg
90 rad = 5157 deg
100 rad = 5730 deg
200 rad = 11460 deg
300 rad = 17190 deg
400 rad = 22920 deg
500 rad = 28650 deg
600 rad = 34380 deg
700 rad = 40110 deg
800 rad = 45840 deg
900 rad = 51570 deg
1000 rad = 57300 deg
10000 rad = 573000 deg

Degrees to radians conversion table from 1 to 100

Degrees to radians table
1 to 25

Degrees to radians
1 deg = 0.01745 rad
2 deg = 0.03491 rad
3 deg = 0.05236 rad
4 deg = 0.06981 rad
5 deg = 0.08727 rad
6 deg = 0.1047 rad
7 deg = 0.1222 rad
8 deg = 0.1396 rad
9 deg = 0.1571 rad
10 deg = 0.1745 rad
11 deg = 0.192 rad
12 deg = 0.2094 rad
13 deg = 0.2269 rad
14 deg = 0.2443 rad
15 deg = 0.2618 rad
16 deg = 0.2793 rad
17 deg = 0.2967 rad
18 deg = 0.3142 rad
19 deg = 0.3316 rad
20 deg = 0.3491 rad
21 deg = 0.3665 rad
22 deg = 0.384 rad
23 deg = 0.4014 rad
24 deg = 0.4189 rad
25 deg = 0.4363 rad

Degrees to radians table
26 to 50

Degrees to radians
26 deg = 0.4538 rad
27 deg = 0.4712 rad
28 deg = 0.4887 rad
29 deg = 0.5061 rad
30 deg = 0.5236 rad
31 deg = 0.5411 rad
32 deg = 0.5585 rad
33 deg = 0.576 rad
34 deg = 0.5934 rad
35 deg = 0.6109 rad
36 deg = 0.6283 rad
37 deg = 0.6458 rad
38 deg = 0.6632 rad
39 deg = 0.6807 rad
40 deg = 0.6981 rad
41 deg = 0.7156 rad
42 deg = 0.733 rad
43 deg = 0.7505 rad
44 deg = 0.7679 rad
45 deg = 0.7854 rad
46 deg = 0.8029 rad
47 deg = 0.8203 rad
48 deg = 0.8378 rad
49 deg = 0.8552 rad
50 deg = 0.8727 rad

Degrees to radians table
51 to 75

Degrees to radians
51 deg = 0.8901 rad
52 deg = 0.9076 rad
53 deg = 0.925 rad
54 deg = 0.9425 rad
55 deg = 0.9599 rad
56 deg = 0.9774 rad
57 deg = 0.9948 rad
58 deg = 1.012 rad
59 deg = 1.03 rad
60 deg = 1.047 rad
61 deg = 1.065 rad
62 deg = 1.082 rad
63 deg = 1.1 rad
64 deg = 1.117 rad
65 deg = 1.134 rad
66 deg = 1.152 rad
67 deg = 1.169 rad
68 deg = 1.187 rad
69 deg = 1.204 rad
70 deg = 1.222 rad
71 deg = 1.239 rad
72 deg = 1.257 rad
73 deg = 1.274 rad
74 deg = 1.292 rad
75 deg = 1.309 rad

Degrees to radians table
76 to 100

Degrees to radians
76 deg = 1.326 rad
77 deg = 1.344 rad
78 deg = 1.361 rad
79 deg = 1.379 rad
80 deg = 1.396 rad
81 deg = 1.414 rad
82 deg = 1.431 rad
83 deg = 1.449 rad
84 deg = 1.466 rad
85 deg = 1.484 rad
86 deg = 1.501 rad
87 deg = 1.518 rad
88 deg = 1.536 rad
89 deg = 1.553 rad
80 deg = 1.571 rad
91 deg = 1.588 rad
92 deg = 1.606 rad
93 deg = 1.623 rad
94 deg = 1.641 rad
95 deg = 1.658 rad
96 deg = 1.676 rad
97 deg = 1.693 rad
98 deg = 1.71 rad
99 deg = 1.728 rad
100 deg = 1.745 rad

This converter can help you to get answers to questions like:

  • How many degrees are in 1 radians?
  • 1 degrees is equal to how many radians?
  • How much is 1 degree in radians?
  • How to convert degrees to radians?
  • What is the conversion factor to convert from degrees to radians?
  • How to transform degrees in radians?
  • What is the formula to convert from degrees to radians? Among others.

Angle conversion factors chart

This calculator uses the following factors in terms o Pi:

Unit Conversion Factor (rad)
Degree π/180
Grad π/200
Radian 1
1/10 circle π/5
1/16 circle π/8
1/2 circle π
1/4 circle π/2
1/6 circle π/3
1/8 circle π/4
Arc minute π/(180*60)
Binary degree π/128
Binary radian π/128
Cycle 2*π
Full angle 2*π
Unit Conversion Factor (rad)
Gradian [grad] π/200
Mil π/3200
Milliarc minute π/(180*60*1000)
Millisecond of arc π/(180*60*60*1000)
Minute π/(180*60)
Octant 2*π/8
Point π/16
Quadrant 2*π/4
Right angle π/2
Second π/(180*3600)
Sextant 2*π/6
Sign 30*(π/180)
Straight angle π

Disclaimer

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