Degrees to Radians Conversion

Convert degrees to radians.

Degrees to Radians
°
1° = 0.01745329 rad
1° = 0.00555556 π rad

Degrees to Radians common values.

  • 90° = (1/2) π rad
  • 90° = 1.57079633 rad
  • 180° = π rad
  • 180° = 3.14159265 rad
  • 360° = 2 π rad
  • 360° = 6.28318531 rad

You can convert degrees to radians and calculate radians in two types. First radian value is the approximately calculated with pi (π) and the second radian value is the exact radian value in terms of pi (π).


How to Calculate Degrees to Radians

We know that one turn of a circle is 360° (degrees), so we can use 2π = 360°. The radian equation is 2 π rad = 360°. Finally the radian is equal to 180 / π.

1 revolution = 360°
2 π rad = 360°
rad = 180° / π

radians =  degrees × 180 / π

where the π = 3.14159
radians =  degrees × 180 / 3.14159;
radians = 57.2958 degrees
1 degree = (1 / 57.2958) radians
1 degree = 0.01745329 rad (approximately)

in terms of π

radians =  degrees × 180 / π
1 degree = (π / 180) rad

Degrees to Radians Values

DegreesRadians (exact)Radians (approx)
15°π12 rad0.26179939 rad
30°π6 rad0.52359878 rad
36°π5 rad0.62831853 rad
45°π4 rad0.78539816 rad
60°π3 rad1.04719755 rad
90°π2 rad1.57079633 rad
180°π rad3.14159265 rad
360°2 π rad6.28318531 rad
Degrees to Radians

Degrees to Radians Conversion Table

DegreesRadians (approx)Radians (exact)
0 rad0 π rad
0.017453 rad0.01 π rad
0.034907 rad0.01 π rad
0.05236 rad0.02 π rad
0.069813 rad0.02 π rad
0.087266 rad0.03 π rad
0.10472 rad0.03 π rad
0.122173 rad0.04 π rad
0.139626 rad0.04 π rad
0.15708 rad0.05 π rad
10°0.174533 rad0.06 π rad
11°0.191986 rad0.06 π rad
12°0.20944 rad0.07 π rad
13°0.226893 rad0.07 π rad
14°0.244346 rad0.08 π rad
15°0.261799 rad0.08 π rad
16°0.279253 rad0.09 π rad
17°0.296706 rad0.09 π rad
18°0.314159 rad0.1 π rad
19°0.331613 rad0.11 π rad
20°0.349066 rad0.11 π rad
21°0.366519 rad0.12 π rad
22°0.383972 rad0.12 π rad
23°0.401426 rad0.13 π rad
24°0.418879 rad0.13 π rad
25°0.436332 rad0.14 π rad
26°0.453786 rad0.14 π rad
27°0.471239 rad0.15 π rad
28°0.488692 rad0.16 π rad
29°0.506145 rad0.16 π rad
30°0.523599 rad0.17 π rad
31°0.541052 rad0.17 π rad
32°0.558505 rad0.18 π rad
33°0.575959 rad0.18 π rad
34°0.593412 rad0.19 π rad
35°0.610865 rad0.19 π rad
36°0.628319 rad0.2 π rad
37°0.645772 rad0.21 π rad
38°0.663225 rad0.21 π rad
39°0.680678 rad0.22 π rad
40°0.698132 rad0.22 π rad
41°0.715585 rad0.23 π rad
42°0.733038 rad0.23 π rad
43°0.750492 rad0.24 π rad
44°0.767945 rad0.24 π rad
45°0.785398 rad0.25 π rad
46°0.802851 rad0.26 π rad
47°0.820305 rad0.26 π rad
48°0.837758 rad0.27 π rad
49°0.855211 rad0.27 π rad
50°0.872665 rad0.28 π rad
51°0.890118 rad0.28 π rad
52°0.907571 rad0.29 π rad
53°0.925025 rad0.29 π rad
54°0.942478 rad0.3 π rad
55°0.959931 rad0.31 π rad
56°0.977384 rad0.31 π rad
57°0.994838 rad0.32 π rad
58°1.012291 rad0.32 π rad
59°1.029744 rad0.33 π rad
60°1.047198 rad0.33 π rad
61°1.064651 rad0.34 π rad
62°1.082104 rad0.34 π rad
63°1.099557 rad0.35 π rad
64°1.117011 rad0.36 π rad
65°1.134464 rad0.36 π rad
66°1.151917 rad0.37 π rad
67°1.169371 rad0.37 π rad
68°1.186824 rad0.38 π rad
69°1.204277 rad0.38 π rad
70°1.22173 rad0.39 π rad
71°1.239184 rad0.39 π rad
72°1.256637 rad0.4 π rad
73°1.27409 rad0.41 π rad
74°1.291544 rad0.41 π rad
75°1.308997 rad0.42 π rad
76°1.32645 rad0.42 π rad
77°1.343904 rad0.43 π rad
78°1.361357 rad0.43 π rad
79°1.37881 rad0.44 π rad
80°1.396263 rad0.44 π rad
81°1.413717 rad0.45 π rad
82°1.43117 rad0.46 π rad
83°1.448623 rad0.46 π rad
84°1.466077 rad0.47 π rad
85°1.48353 rad0.47 π rad
86°1.500983 rad0.48 π rad
87°1.518436 rad0.48 π rad
88°1.53589 rad0.49 π rad
89°1.553343 rad0.49 π rad
90°1.570796 rad0.5 π rad
91°1.58825 rad0.51 π rad
92°1.605703 rad0.51 π rad
93°1.623156 rad0.52 π rad
94°1.640609 rad0.52 π rad
95°1.658063 rad0.53 π rad
96°1.675516 rad0.53 π rad
97°1.692969 rad0.54 π rad
98°1.710423 rad0.54 π rad
99°1.727876 rad0.55 π rad
100°1.745329 rad0.56 π rad
101°1.762783 rad0.56 π rad
102°1.780236 rad0.57 π rad
103°1.797689 rad0.57 π rad
104°1.815142 rad0.58 π rad
105°1.832596 rad0.58 π rad
106°1.850049 rad0.59 π rad
107°1.867502 rad0.59 π rad
108°1.884956 rad0.6 π rad
109°1.902409 rad0.61 π rad
110°1.919862 rad0.61 π rad
111°1.937315 rad0.62 π rad
112°1.954769 rad0.62 π rad
113°1.972222 rad0.63 π rad
114°1.989675 rad0.63 π rad
115°2.007129 rad0.64 π rad
116°2.024582 rad0.64 π rad
117°2.042035 rad0.65 π rad
118°2.059489 rad0.66 π rad
119°2.076942 rad0.66 π rad
120°2.094395 rad0.67 π rad
DegreesRadians (approx)Radians (exact)
120°2.094395 rad0.67 π rad
121°2.111848 rad0.67 π rad
122°2.129302 rad0.68 π rad
123°2.146755 rad0.68 π rad
124°2.164208 rad0.69 π rad
125°2.181662 rad0.69 π rad
126°2.199115 rad0.7 π rad
127°2.216568 rad0.71 π rad
128°2.234021 rad0.71 π rad
129°2.251475 rad0.72 π rad
130°2.268928 rad0.72 π rad
131°2.286381 rad0.73 π rad
132°2.303835 rad0.73 π rad
133°2.321288 rad0.74 π rad
134°2.338741 rad0.74 π rad
135°2.356194 rad0.75 π rad
136°2.373648 rad0.76 π rad
137°2.391101 rad0.76 π rad
138°2.408554 rad0.77 π rad
139°2.426008 rad0.77 π rad
140°2.443461 rad0.78 π rad
141°2.460914 rad0.78 π rad
142°2.478368 rad0.79 π rad
143°2.495821 rad0.79 π rad
144°2.513274 rad0.8 π rad
145°2.530727 rad0.81 π rad
146°2.548181 rad0.81 π rad
147°2.565634 rad0.82 π rad
148°2.583087 rad0.82 π rad
149°2.600541 rad0.83 π rad
150°2.617994 rad0.83 π rad
151°2.635447 rad0.84 π rad
152°2.6529 rad0.84 π rad
153°2.670354 rad0.85 π rad
154°2.687807 rad0.86 π rad
155°2.70526 rad0.86 π rad
156°2.722714 rad0.87 π rad
157°2.740167 rad0.87 π rad
158°2.75762 rad0.88 π rad
159°2.775074 rad0.88 π rad
160°2.792527 rad0.89 π rad
161°2.80998 rad0.89 π rad
162°2.827433 rad0.9 π rad
163°2.844887 rad0.91 π rad
164°2.86234 rad0.91 π rad
165°2.879793 rad0.92 π rad
166°2.897247 rad0.92 π rad
167°2.9147 rad0.93 π rad
168°2.932153 rad0.93 π rad
169°2.949606 rad0.94 π rad
170°2.96706 rad0.94 π rad
171°2.984513 rad0.95 π rad
172°3.001966 rad0.96 π rad
173°3.01942 rad0.96 π rad
174°3.036873 rad0.97 π rad
175°3.054326 rad0.97 π rad
176°3.071779 rad0.98 π rad
177°3.089233 rad0.98 π rad
178°3.106686 rad0.99 π rad
179°3.124139 rad0.99 π rad
180°3.141593 rad1 π rad
181°3.159046 rad1.01 π rad
182°3.176499 rad1.01 π rad
183°3.193953 rad1.02 π rad
184°3.211406 rad1.02 π rad
185°3.228859 rad1.03 π rad
186°3.246312 rad1.03 π rad
187°3.263766 rad1.04 π rad
188°3.281219 rad1.04 π rad
189°3.298672 rad1.05 π rad
190°3.316126 rad1.06 π rad
191°3.333579 rad1.06 π rad
192°3.351032 rad1.07 π rad
193°3.368485 rad1.07 π rad
194°3.385939 rad1.08 π rad
195°3.403392 rad1.08 π rad
196°3.420845 rad1.09 π rad
197°3.438299 rad1.09 π rad
198°3.455752 rad1.1 π rad
199°3.473205 rad1.11 π rad
200°3.490659 rad1.11 π rad
201°3.508112 rad1.12 π rad
202°3.525565 rad1.12 π rad
203°3.543018 rad1.13 π rad
204°3.560472 rad1.13 π rad
205°3.577925 rad1.14 π rad
206°3.595378 rad1.14 π rad
207°3.612832 rad1.15 π rad
208°3.630285 rad1.16 π rad
209°3.647738 rad1.16 π rad
210°3.665191 rad1.17 π rad
211°3.682645 rad1.17 π rad
212°3.700098 rad1.18 π rad
213°3.717551 rad1.18 π rad
214°3.735005 rad1.19 π rad
215°3.752458 rad1.19 π rad
216°3.769911 rad1.2 π rad
217°3.787364 rad1.21 π rad
218°3.804818 rad1.21 π rad
219°3.822271 rad1.22 π rad
220°3.839724 rad1.22 π rad
221°3.857178 rad1.23 π rad
222°3.874631 rad1.23 π rad
223°3.892084 rad1.24 π rad
224°3.909538 rad1.24 π rad
225°3.926991 rad1.25 π rad
226°3.944444 rad1.26 π rad
227°3.961897 rad1.26 π rad
228°3.979351 rad1.27 π rad
229°3.996804 rad1.27 π rad
230°4.014257 rad1.28 π rad
231°4.031711 rad1.28 π rad
232°4.049164 rad1.29 π rad
233°4.066617 rad1.29 π rad
234°4.08407 rad1.3 π rad
235°4.101524 rad1.31 π rad
236°4.118977 rad1.31 π rad
237°4.13643 rad1.32 π rad
238°4.153884 rad1.32 π rad
239°4.171337 rad1.33 π rad
240°4.18879 rad1.33 π rad
DegreesRadians (approx)Radians (exact)
240°4.18879 rad1.33 π rad
241°4.206243 rad1.34 π rad
242°4.223697 rad1.34 π rad
243°4.24115 rad1.35 π rad
244°4.258603 rad1.36 π rad
245°4.276057 rad1.36 π rad
246°4.29351 rad1.37 π rad
247°4.310963 rad1.37 π rad
248°4.328417 rad1.38 π rad
249°4.34587 rad1.38 π rad
250°4.363323 rad1.39 π rad
251°4.380776 rad1.39 π rad
252°4.39823 rad1.4 π rad
253°4.415683 rad1.41 π rad
254°4.433136 rad1.41 π rad
255°4.45059 rad1.42 π rad
256°4.468043 rad1.42 π rad
257°4.485496 rad1.43 π rad
258°4.502949 rad1.43 π rad
259°4.520403 rad1.44 π rad
260°4.537856 rad1.44 π rad
261°4.555309 rad1.45 π rad
262°4.572763 rad1.46 π rad
263°4.590216 rad1.46 π rad
264°4.607669 rad1.47 π rad
265°4.625123 rad1.47 π rad
266°4.642576 rad1.48 π rad
267°4.660029 rad1.48 π rad
268°4.677482 rad1.49 π rad
269°4.694936 rad1.49 π rad
270°4.712389 rad1.5 π rad
271°4.729842 rad1.51 π rad
272°4.747296 rad1.51 π rad
273°4.764749 rad1.52 π rad
274°4.782202 rad1.52 π rad
275°4.799655 rad1.53 π rad
276°4.817109 rad1.53 π rad
277°4.834562 rad1.54 π rad
278°4.852015 rad1.54 π rad
279°4.869469 rad1.55 π rad
280°4.886922 rad1.56 π rad
281°4.904375 rad1.56 π rad
282°4.921828 rad1.57 π rad
283°4.939282 rad1.57 π rad
284°4.956735 rad1.58 π rad
285°4.974188 rad1.58 π rad
286°4.991642 rad1.59 π rad
287°5.009095 rad1.59 π rad
288°5.026548 rad1.6 π rad
289°5.044002 rad1.61 π rad
290°5.061455 rad1.61 π rad
291°5.078908 rad1.62 π rad
292°5.096361 rad1.62 π rad
293°5.113815 rad1.63 π rad
294°5.131268 rad1.63 π rad
295°5.148721 rad1.64 π rad
296°5.166175 rad1.64 π rad
297°5.183628 rad1.65 π rad
298°5.201081 rad1.66 π rad
299°5.218534 rad1.66 π rad
300°5.235988 rad1.67 π rad
301°5.253441 rad1.67 π rad
302°5.270894 rad1.68 π rad
303°5.288348 rad1.68 π rad
304°5.305801 rad1.69 π rad
305°5.323254 rad1.69 π rad
306°5.340708 rad1.7 π rad
307°5.358161 rad1.71 π rad
308°5.375614 rad1.71 π rad
309°5.393067 rad1.72 π rad
310°5.410521 rad1.72 π rad
311°5.427974 rad1.73 π rad
312°5.445427 rad1.73 π rad
313°5.462881 rad1.74 π rad
314°5.480334 rad1.74 π rad
315°5.497787 rad1.75 π rad
316°5.51524 rad1.76 π rad
317°5.532694 rad1.76 π rad
318°5.550147 rad1.77 π rad
319°5.5676 rad1.77 π rad
320°5.585054 rad1.78 π rad
321°5.602507 rad1.78 π rad
322°5.61996 rad1.79 π rad
323°5.637413 rad1.79 π rad
324°5.654867 rad1.8 π rad
325°5.67232 rad1.81 π rad
326°5.689773 rad1.81 π rad
327°5.707227 rad1.82 π rad
328°5.72468 rad1.82 π rad
329°5.742133 rad1.83 π rad
330°5.759587 rad1.83 π rad
331°5.77704 rad1.84 π rad
332°5.794493 rad1.84 π rad
333°5.811946 rad1.85 π rad
334°5.8294 rad1.86 π rad
335°5.846853 rad1.86 π rad
336°5.864306 rad1.87 π rad
337°5.88176 rad1.87 π rad
338°5.899213 rad1.88 π rad
339°5.916666 rad1.88 π rad
340°5.934119 rad1.89 π rad
341°5.951573 rad1.89 π rad
342°5.969026 rad1.9 π rad
343°5.986479 rad1.91 π rad
344°6.003933 rad1.91 π rad
345°6.021386 rad1.92 π rad
346°6.038839 rad1.92 π rad
347°6.056292 rad1.93 π rad
348°6.073746 rad1.93 π rad
349°6.091199 rad1.94 π rad
350°6.108652 rad1.94 π rad
351°6.126106 rad1.95 π rad
352°6.143559 rad1.96 π rad
353°6.161012 rad1.96 π rad
354°6.178466 rad1.97 π rad
355°6.195919 rad1.97 π rad
356°6.213372 rad1.98 π rad
357°6.230825 rad1.98 π rad
358°6.248279 rad1.99 π rad
359°6.265732 rad1.99 π rad
360°6.283185 rad2 π rad

We just calculate degrees to radians, to calculate radians to degrees, please visit radians to degrees converter.


Recent Comments
Lauri Friberg 2017-03-28 18:09:46

This is great info! Now I am enlightened and delighted, that I have found out these mathematical concepts.

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