Angle Unit Converter
To use this angle converter, choose two units, then type some value in the box at left (input). The converted result will immediately appear in the output box at right.
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About Angles
Definition: A shape, formed by two lines or rays diverging from a common point (the vertex).
The angular measure of an object is usually expressed in degrees, arcminutes or arcseconds. Just as an hour is divided into 60 minutes and a minute into 60 seconds, a degree is divided into 60 arcminutes and an arcminute is divided into 60 arcseconds.
Angular Measurements and Units
To make basic angle measurements, we can use a protractor which is probabily the most basic anglemeasuring instrument, a common object used in school math classes.
To make precision angle measurements we need a beter instrument like a Digital AngleMeasuring Device, a Theodolite  used mainly by surveyors in civil engineering roles  or a Goniometer.
How small is a microarcsecond? See bellow to have an idea.
 1 degree = 1° = 1/360 of a circle
 1 arcminute = 1' = 1/60 of a degree
 1 arcsecond = 1" = 1/60 of an arcminute = 1/3600 of a degree
 1 milliarcsecond = 1 mas = 1/1000 arcsecond = 1/3,600,000 of a degree
 1 microarcsecond = 1/1000 of an milliarcsecond = 1/3,600,000,000 of a degree
Is it usefull?
In astronomy, we often use angular measurements to describe the apparent size of an object in space and the apparent distances between objects.
The star Epsilon Eridani is close enough to the Sun that its distance can be measured by the method of parallax, which gives the angle (p) 310.74 miliarcseconds = 0.31074 arc seconds. This can be converted to 3.218 parsecs (distance unit equivalent to 3.26 light years).
Microarcsecond is used to detect Earthlike planets orbiting in the habitable zone (HZ) of Sunlike stars.
AngleMeasuring Instruments
Protractor
It is probabily the most basic anglemeasuring instrument, a common object used in school math classes. This instrument is normally semicircular and is often used by students in the classroom.
Theodolite
A theodolite is a relatively complex type of anglemeasuring instrument that is used mainly by surveyors in civil engineering roles. It consists of a telescope that the user can look through to see a circular shape marked out in degrees, minutes and seconds (º ' "). At this level of detail the surveyor measurements can be very accurate. It is an optical instrument based on the telescope that is used for determining the horizontal and vertical angles between two points and for calculating distances.
Goniometer
Consists of a circular dial with degree measurements around the outside and tens of degrees in an inner circle. It has two arms, one that remains stationary and one that is movable.
Digital AngleMeasuring Devices
If we want to measure a simple angle, for instance in construction, we can use a digital anglemeasuring instrument to get a quick answer. These devices have two arms, which can be inserted into a corner and moved to fit the angle. A digital display then shows the measurement in degrees.
Units  Values  

Turns  0  1/24  1/12  1/10  1/8  1/6  1/5  1/4  1/3  2/5  1/2  3/4  1 
Radians  0  π/12  π/6  π/5  π/4  π/3  2π/5  π/2  2π/3  4π/5  π  3π/2  2π 
Degrees  0°  15°  30°  36°  45°  60°  72°  90°  120°  144°  180°  270°  360° 
Grads  0^{g}  16⅔^{g}  33⅓^{g}  40^{g}  50^{g}  66⅔^{g}  80^{g}  100^{g}  133⅓^{g}  160^{g}  200^{g}  300^{g}  400^{g} 
More Angle Converters
Degree to radian Conversion Table and ViceVersa
The table below contains pairs of values from degree to radian ranging from one to one hundred thousand.
Degrees to Radians Table
0 to 100
degrees to radians 
0 deg = 0 rad 
0.1 deg = 0.00175 rad 
0.2 deg = 0.00349 rad 
0.3 deg = 0.00524 rad 
0.4 deg = 0.00698 rad 
12 deg = 0.00873 rad 
0.6 deg = 0.0105 rad 
0.7 deg = 0.0122 rad 
0.8 deg = 0.014 rad 
0.9 deg = 0.0157 rad 
1 deg = 0.0175 rad 
2 deg = 0.0349 rad 
3 deg = 0.0524 rad 
4 deg = 0.0698 rad 
5 deg = 0.0873 rad 
6 deg = 0.105 rad 
7 deg = 0.105 rad 
8 deg = 0.14 rad 
9 deg = 0.157 rad 
10 deg = 0.175 rad 
20 deg = 0.349 rad 
30 deg = 0.524 rad 
40 deg = 0.698 rad 
50 deg = 0.873 rad 
60 deg = 1.05 rad 
70 deg = 1.22 rad 
80 deg = 1.4 rad 
90 deg = 1.57 rad 
100 deg = 1.75 rad 
Degrees to Radians Table
100 to 1 × 10^{6}
degrees to radians 
100 deg = 1.75 rad 
200 deg = 3.49 rad 
300 deg = 5.24 rad 
400 deg = 6.98 rad 
500 deg = 8.73 rad 
600 deg = 10.5 rad 
700 deg = 12.2 rad 
800 deg = 14 rad 
900 deg = 15.7 rad 
1000 deg = 17.5 rad 
2000 deg = 34.9 rad 
3000 deg = 52.4 rad 
4000 deg = 69.8 rad 
5000 deg = 87.3 rad 
6000 deg = 105 rad 
7000 deg = 122 rad 
8000 deg = 140 rad 
9000 deg = 157 rad 
10000 deg = 175 rad 
20000 deg = 349 rad 
30000 deg = 524 rad 
40000 deg = 698 rad 
50000 deg = 873 rad 
60000 deg = 1050 rad 
70000 deg = 1220 rad 
80000 deg = 1400 rad 
90000 deg = 1570 rad 
100000 deg = 1750 rad 
1 × 10^{6} deg = 17500 rad 
Radians to Degrees Table
0 to 1
radians to degrees 
0 rad = 0 deg 
0.001 rad = 0.0573 deg 
0.002 rad = 0.115 deg 
0.003 rad = 0.172 deg 
0.004 rad = 0.229 deg 
0.005 rad = 0.286 deg 
0.006 rad = 0.344 deg 
0.007 rad = 0.401 deg 
0.008 rad = 0.458 deg 
0.009 rad = 0.516 deg 
0.01 rad = 0.573 deg 
0.02 rad = 1.15 deg 
0.03 rad = 1.72 deg 
0.04 rad = 2.29 deg 
0.05 rad = 2.86 deg 
0.06 rad = 3.44 deg 
0.07 rad = 3.44 deg 
0.08 rad = 4.58 deg 
0.09 rad = 5.16 deg 
0.1 rad = 5.73 deg 
0.2 rad = 11.5 deg 
0.3 rad = 17.2 deg 
0.4 rad = 22.9 deg 
12 rad = 28.6 deg 
0.6 rad = 34.4 deg 
0.7 rad = 40.1 deg 
0.8 rad = 45.8 deg 
0.9 rad = 51.6 deg 
1 rad = 57.3 deg 
Radians to Degrees Table
1 to 10000
radians to degrees 
1 rad = 57.3 deg 
2 rad = 115 deg 
3 rad = 172 deg 
4 rad = 229 deg 
5 rad = 286 deg 
6 rad = 344 deg 
7 rad = 401 deg 
8 rad = 458 deg 
9 rad = 516 deg 
10 rad = 573 deg 
20 rad = 1150 deg 
30 rad = 1720 deg 
40 rad = 2290 deg 
50 rad = 2860 deg 
60 rad = 3440 deg 
70 rad = 4010 deg 
80 rad = 4580 deg 
90 rad = 5160 deg 
100 rad = 5730 deg 
200 rad = 11500 deg 
300 rad = 17200 deg 
400 rad = 22900 deg 
500 rad = 28600 deg 
600 rad = 34400 deg 
700 rad = 40100 deg 
800 rad = 45800 deg 
900 rad = 51600 deg 
1000 rad = 57300 deg 
10000 rad = 5.73 × 10^{5} deg 
Degree to radian Conversion Table from One to One Hundred
The table below contains pairs of values from degree to radian with unit steps.
Degrees to Radians Table
1 to 25
degree to radian 
1 deg = 0.0175 rad 
2 deg = 0.0349 rad 
3 deg = 0.0524 rad 
4 deg = 0.0698 rad 
5 deg = 0.0873 rad 
6 deg = 0.105 rad 
7 deg = 0.122 rad 
8 deg = 0.14 rad 
9 deg = 0.157 rad 
10 deg = 0.175 rad 
11 deg = 0.192 rad 
12 deg = 0.209 rad 
13 deg = 0.227 rad 
14 deg = 0.244 rad 
15 deg = 0.262 rad 
16 deg = 0.279 rad 
17 deg = 0.297 rad 
18 deg = 0.314 rad 
19 deg = 0.332 rad 
20 deg = 0.349 rad 
21 deg = 0.367 rad 
22 deg = 0.384 rad 
23 deg = 0.401 rad 
24 deg = 0.419 rad 
25 deg = 0.436 rad 
Degrees to Radians Table
26 to 50
degree to radian 
26 deg = 0.454 rad 
27 deg = 0.471 rad 
28 deg = 0.489 rad 
29 deg = 0.506 rad 
30 deg = 0.524 rad 
31 deg = 0.541 rad 
32 deg = 0.559 rad 
33 deg = 0.576 rad 
34 deg = 0.593 rad 
35 deg = 0.611 rad 
36 deg = 0.628 rad 
37 deg = 0.646 rad 
38 deg = 0.663 rad 
39 deg = 0.681 rad 
40 deg = 0.698 rad 
41 deg = 0.716 rad 
42 deg = 0.733 rad 
43 deg = 0.75 rad 
44 deg = 0.768 rad 
45 deg = 0.785 rad 
46 deg = 0.803 rad 
47 deg = 0.82 rad 
48 deg = 0.838 rad 
49 deg = 0.855 rad 
50 deg = 0.873 rad 
Degrees to Radians Table
51 to 75
degree to radian 
51 deg = 0.89 rad 
52 deg = 0.908 rad 
53 deg = 0.925 rad 
54 deg = 0.942 rad 
55 deg = 0.96 rad 
56 deg = 0.977 rad 
57 deg = 0.995 rad 
58 deg = 1.01 rad 
59 deg = 1.03 rad 
60 deg = 1.05 rad 
61 deg = 1.06 rad 
62 deg = 1.08 rad 
63 deg = 1.1 rad 
64 deg = 1.12 rad 
65 deg = 1.13 rad 
66 deg = 1.15 rad 
67 deg = 1.17 rad 
68 deg = 1.19 rad 
69 deg = 1.2 rad 
70 deg = 1.22 rad 
71 deg = 1.24 rad 
72 deg = 1.26 rad 
73 deg = 1.27 rad 
74 deg = 1.29 rad 
75 deg = 1.31 rad 
Degrees to Radians Table
76 to 100
degree to radian 
76 deg = 1.33 rad 
77 deg = 1.34 rad 
78 deg = 1.36 rad 
79 deg = 1.38 rad 
80 deg = 1.4 rad 
81 deg = 1.41 rad 
82 deg = 1.43 rad 
83 deg = 1.45 rad 
84 deg = 1.47 rad 
85 deg = 1.48 rad 
86 deg = 1.5 rad 
87 deg = 1.52 rad 
88 deg = 1.54 rad 
89 deg = 1.55 rad 
80 deg = 1.57 rad 
91 deg = 1.59 rad 
92 deg = 1.61 rad 
93 deg = 1.62 rad 
94 deg = 1.64 rad 
95 deg = 1.66 rad 
96 deg = 1.68 rad 
97 deg = 1.69 rad 
98 deg = 1.71 rad 
99 deg = 1.73 rad 
100 deg = 1.75 rad 