Degrees to Radians Conversion

Convert 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

Degrees	Radians (exact)	Radians (approx)
15°	^π⁄₁₂ rad	0.26179939 rad
30°	^π⁄₆ rad	0.52359878 rad
36°	^π⁄₅ rad	0.62831853 rad
45°	^π⁄₄ rad	0.78539816 rad
60°	^π⁄₃ rad	1.04719755 rad
90°	^π⁄₂ rad	1.57079633 rad
180°	π rad	3.14159265 rad
360°	2 π rad	6.28318531 rad

Degrees to Radians Conversion Table

Degrees	Radians (approx)	Radians (exact)
0°	0 rad	0 π rad
1°	0.017453 rad	0.01 π rad
2°	0.034907 rad	0.01 π rad
3°	0.05236 rad	0.02 π rad
4°	0.069813 rad	0.02 π rad
5°	0.087266 rad	0.03 π rad
6°	0.10472 rad	0.03 π rad
7°	0.122173 rad	0.04 π rad
8°	0.139626 rad	0.04 π rad
9°	0.15708 rad	0.05 π rad
10°	0.174533 rad	0.06 π rad
11°	0.191986 rad	0.06 π rad
12°	0.20944 rad	0.07 π rad
13°	0.226893 rad	0.07 π rad
14°	0.244346 rad	0.08 π rad
15°	0.261799 rad	0.08 π rad
16°	0.279253 rad	0.09 π rad
17°	0.296706 rad	0.09 π rad
18°	0.314159 rad	0.1 π rad
19°	0.331613 rad	0.11 π rad
20°	0.349066 rad	0.11 π rad
21°	0.366519 rad	0.12 π rad
22°	0.383972 rad	0.12 π rad
23°	0.401426 rad	0.13 π rad
24°	0.418879 rad	0.13 π rad
25°	0.436332 rad	0.14 π rad
26°	0.453786 rad	0.14 π rad
27°	0.471239 rad	0.15 π rad
28°	0.488692 rad	0.16 π rad
29°	0.506145 rad	0.16 π rad
30°	0.523599 rad	0.17 π rad
31°	0.541052 rad	0.17 π rad
32°	0.558505 rad	0.18 π rad
33°	0.575959 rad	0.18 π rad
34°	0.593412 rad	0.19 π rad
35°	0.610865 rad	0.19 π rad
36°	0.628319 rad	0.2 π rad
37°	0.645772 rad	0.21 π rad
38°	0.663225 rad	0.21 π rad
39°	0.680678 rad	0.22 π rad
40°	0.698132 rad	0.22 π rad
41°	0.715585 rad	0.23 π rad
42°	0.733038 rad	0.23 π rad
43°	0.750492 rad	0.24 π rad
44°	0.767945 rad	0.24 π rad
45°	0.785398 rad	0.25 π rad
46°	0.802851 rad	0.26 π rad
47°	0.820305 rad	0.26 π rad
48°	0.837758 rad	0.27 π rad
49°	0.855211 rad	0.27 π rad
50°	0.872665 rad	0.28 π rad
51°	0.890118 rad	0.28 π rad
52°	0.907571 rad	0.29 π rad
53°	0.925025 rad	0.29 π rad
54°	0.942478 rad	0.3 π rad
55°	0.959931 rad	0.31 π rad
56°	0.977384 rad	0.31 π rad
57°	0.994838 rad	0.32 π rad
58°	1.012291 rad	0.32 π rad
59°	1.029744 rad	0.33 π rad
60°	1.047198 rad	0.33 π rad
61°	1.064651 rad	0.34 π rad
62°	1.082104 rad	0.34 π rad
63°	1.099557 rad	0.35 π rad
64°	1.117011 rad	0.36 π rad
65°	1.134464 rad	0.36 π rad
66°	1.151917 rad	0.37 π rad
67°	1.169371 rad	0.37 π rad
68°	1.186824 rad	0.38 π rad
69°	1.204277 rad	0.38 π rad
70°	1.22173 rad	0.39 π rad
71°	1.239184 rad	0.39 π rad
72°	1.256637 rad	0.4 π rad
73°	1.27409 rad	0.41 π rad
74°	1.291544 rad	0.41 π rad
75°	1.308997 rad	0.42 π rad
76°	1.32645 rad	0.42 π rad
77°	1.343904 rad	0.43 π rad
78°	1.361357 rad	0.43 π rad
79°	1.37881 rad	0.44 π rad
80°	1.396263 rad	0.44 π rad
81°	1.413717 rad	0.45 π rad
82°	1.43117 rad	0.46 π rad
83°	1.448623 rad	0.46 π rad
84°	1.466077 rad	0.47 π rad
85°	1.48353 rad	0.47 π rad
86°	1.500983 rad	0.48 π rad
87°	1.518436 rad	0.48 π rad
88°	1.53589 rad	0.49 π rad
89°	1.553343 rad	0.49 π rad
90°	1.570796 rad	0.5 π rad
91°	1.58825 rad	0.51 π rad
92°	1.605703 rad	0.51 π rad
93°	1.623156 rad	0.52 π rad
94°	1.640609 rad	0.52 π rad
95°	1.658063 rad	0.53 π rad
96°	1.675516 rad	0.53 π rad
97°	1.692969 rad	0.54 π rad
98°	1.710423 rad	0.54 π rad
99°	1.727876 rad	0.55 π rad
100°	1.745329 rad	0.56 π rad
101°	1.762783 rad	0.56 π rad
102°	1.780236 rad	0.57 π rad
103°	1.797689 rad	0.57 π rad
104°	1.815142 rad	0.58 π rad
105°	1.832596 rad	0.58 π rad
106°	1.850049 rad	0.59 π rad
107°	1.867502 rad	0.59 π rad
108°	1.884956 rad	0.6 π rad
109°	1.902409 rad	0.61 π rad
110°	1.919862 rad	0.61 π rad
111°	1.937315 rad	0.62 π rad
112°	1.954769 rad	0.62 π rad
113°	1.972222 rad	0.63 π rad
114°	1.989675 rad	0.63 π rad
115°	2.007129 rad	0.64 π rad
116°	2.024582 rad	0.64 π rad
117°	2.042035 rad	0.65 π rad
118°	2.059489 rad	0.66 π rad
119°	2.076942 rad	0.66 π rad
120°	2.094395 rad	0.67 π rad

Degrees	Radians (approx)	Radians (exact)
120°	2.094395 rad	0.67 π rad
121°	2.111848 rad	0.67 π rad
122°	2.129302 rad	0.68 π rad
123°	2.146755 rad	0.68 π rad
124°	2.164208 rad	0.69 π rad
125°	2.181662 rad	0.69 π rad
126°	2.199115 rad	0.7 π rad
127°	2.216568 rad	0.71 π rad
128°	2.234021 rad	0.71 π rad
129°	2.251475 rad	0.72 π rad
130°	2.268928 rad	0.72 π rad
131°	2.286381 rad	0.73 π rad
132°	2.303835 rad	0.73 π rad
133°	2.321288 rad	0.74 π rad
134°	2.338741 rad	0.74 π rad
135°	2.356194 rad	0.75 π rad
136°	2.373648 rad	0.76 π rad
137°	2.391101 rad	0.76 π rad
138°	2.408554 rad	0.77 π rad
139°	2.426008 rad	0.77 π rad
140°	2.443461 rad	0.78 π rad
141°	2.460914 rad	0.78 π rad
142°	2.478368 rad	0.79 π rad
143°	2.495821 rad	0.79 π rad
144°	2.513274 rad	0.8 π rad
145°	2.530727 rad	0.81 π rad
146°	2.548181 rad	0.81 π rad
147°	2.565634 rad	0.82 π rad
148°	2.583087 rad	0.82 π rad
149°	2.600541 rad	0.83 π rad
150°	2.617994 rad	0.83 π rad
151°	2.635447 rad	0.84 π rad
152°	2.6529 rad	0.84 π rad
153°	2.670354 rad	0.85 π rad
154°	2.687807 rad	0.86 π rad
155°	2.70526 rad	0.86 π rad
156°	2.722714 rad	0.87 π rad
157°	2.740167 rad	0.87 π rad
158°	2.75762 rad	0.88 π rad
159°	2.775074 rad	0.88 π rad
160°	2.792527 rad	0.89 π rad
161°	2.80998 rad	0.89 π rad
162°	2.827433 rad	0.9 π rad
163°	2.844887 rad	0.91 π rad
164°	2.86234 rad	0.91 π rad
165°	2.879793 rad	0.92 π rad
166°	2.897247 rad	0.92 π rad
167°	2.9147 rad	0.93 π rad
168°	2.932153 rad	0.93 π rad
169°	2.949606 rad	0.94 π rad
170°	2.96706 rad	0.94 π rad
171°	2.984513 rad	0.95 π rad
172°	3.001966 rad	0.96 π rad
173°	3.01942 rad	0.96 π rad
174°	3.036873 rad	0.97 π rad
175°	3.054326 rad	0.97 π rad
176°	3.071779 rad	0.98 π rad
177°	3.089233 rad	0.98 π rad
178°	3.106686 rad	0.99 π rad
179°	3.124139 rad	0.99 π rad
180°	3.141593 rad	1 π rad
181°	3.159046 rad	1.01 π rad
182°	3.176499 rad	1.01 π rad
183°	3.193953 rad	1.02 π rad
184°	3.211406 rad	1.02 π rad
185°	3.228859 rad	1.03 π rad
186°	3.246312 rad	1.03 π rad
187°	3.263766 rad	1.04 π rad
188°	3.281219 rad	1.04 π rad
189°	3.298672 rad	1.05 π rad
190°	3.316126 rad	1.06 π rad
191°	3.333579 rad	1.06 π rad
192°	3.351032 rad	1.07 π rad
193°	3.368485 rad	1.07 π rad
194°	3.385939 rad	1.08 π rad
195°	3.403392 rad	1.08 π rad
196°	3.420845 rad	1.09 π rad
197°	3.438299 rad	1.09 π rad
198°	3.455752 rad	1.1 π rad
199°	3.473205 rad	1.11 π rad
200°	3.490659 rad	1.11 π rad
201°	3.508112 rad	1.12 π rad
202°	3.525565 rad	1.12 π rad
203°	3.543018 rad	1.13 π rad
204°	3.560472 rad	1.13 π rad
205°	3.577925 rad	1.14 π rad
206°	3.595378 rad	1.14 π rad
207°	3.612832 rad	1.15 π rad
208°	3.630285 rad	1.16 π rad
209°	3.647738 rad	1.16 π rad
210°	3.665191 rad	1.17 π rad
211°	3.682645 rad	1.17 π rad
212°	3.700098 rad	1.18 π rad
213°	3.717551 rad	1.18 π rad
214°	3.735005 rad	1.19 π rad
215°	3.752458 rad	1.19 π rad
216°	3.769911 rad	1.2 π rad
217°	3.787364 rad	1.21 π rad
218°	3.804818 rad	1.21 π rad
219°	3.822271 rad	1.22 π rad
220°	3.839724 rad	1.22 π rad
221°	3.857178 rad	1.23 π rad
222°	3.874631 rad	1.23 π rad
223°	3.892084 rad	1.24 π rad
224°	3.909538 rad	1.24 π rad
225°	3.926991 rad	1.25 π rad
226°	3.944444 rad	1.26 π rad
227°	3.961897 rad	1.26 π rad
228°	3.979351 rad	1.27 π rad
229°	3.996804 rad	1.27 π rad
230°	4.014257 rad	1.28 π rad
231°	4.031711 rad	1.28 π rad
232°	4.049164 rad	1.29 π rad
233°	4.066617 rad	1.29 π rad
234°	4.08407 rad	1.3 π rad
235°	4.101524 rad	1.31 π rad
236°	4.118977 rad	1.31 π rad
237°	4.13643 rad	1.32 π rad
238°	4.153884 rad	1.32 π rad
239°	4.171337 rad	1.33 π rad
240°	4.18879 rad	1.33 π rad

Degrees	Radians (approx)	Radians (exact)
240°	4.18879 rad	1.33 π rad
241°	4.206243 rad	1.34 π rad
242°	4.223697 rad	1.34 π rad
243°	4.24115 rad	1.35 π rad
244°	4.258603 rad	1.36 π rad
245°	4.276057 rad	1.36 π rad
246°	4.29351 rad	1.37 π rad
247°	4.310963 rad	1.37 π rad
248°	4.328417 rad	1.38 π rad
249°	4.34587 rad	1.38 π rad
250°	4.363323 rad	1.39 π rad
251°	4.380776 rad	1.39 π rad
252°	4.39823 rad	1.4 π rad
253°	4.415683 rad	1.41 π rad
254°	4.433136 rad	1.41 π rad
255°	4.45059 rad	1.42 π rad
256°	4.468043 rad	1.42 π rad
257°	4.485496 rad	1.43 π rad
258°	4.502949 rad	1.43 π rad
259°	4.520403 rad	1.44 π rad
260°	4.537856 rad	1.44 π rad
261°	4.555309 rad	1.45 π rad
262°	4.572763 rad	1.46 π rad
263°	4.590216 rad	1.46 π rad
264°	4.607669 rad	1.47 π rad
265°	4.625123 rad	1.47 π rad
266°	4.642576 rad	1.48 π rad
267°	4.660029 rad	1.48 π rad
268°	4.677482 rad	1.49 π rad
269°	4.694936 rad	1.49 π rad
270°	4.712389 rad	1.5 π rad
271°	4.729842 rad	1.51 π rad
272°	4.747296 rad	1.51 π rad
273°	4.764749 rad	1.52 π rad
274°	4.782202 rad	1.52 π rad
275°	4.799655 rad	1.53 π rad
276°	4.817109 rad	1.53 π rad
277°	4.834562 rad	1.54 π rad
278°	4.852015 rad	1.54 π rad
279°	4.869469 rad	1.55 π rad
280°	4.886922 rad	1.56 π rad
281°	4.904375 rad	1.56 π rad
282°	4.921828 rad	1.57 π rad
283°	4.939282 rad	1.57 π rad
284°	4.956735 rad	1.58 π rad
285°	4.974188 rad	1.58 π rad
286°	4.991642 rad	1.59 π rad
287°	5.009095 rad	1.59 π rad
288°	5.026548 rad	1.6 π rad
289°	5.044002 rad	1.61 π rad
290°	5.061455 rad	1.61 π rad
291°	5.078908 rad	1.62 π rad
292°	5.096361 rad	1.62 π rad
293°	5.113815 rad	1.63 π rad
294°	5.131268 rad	1.63 π rad
295°	5.148721 rad	1.64 π rad
296°	5.166175 rad	1.64 π rad
297°	5.183628 rad	1.65 π rad
298°	5.201081 rad	1.66 π rad
299°	5.218534 rad	1.66 π rad
300°	5.235988 rad	1.67 π rad
301°	5.253441 rad	1.67 π rad
302°	5.270894 rad	1.68 π rad
303°	5.288348 rad	1.68 π rad
304°	5.305801 rad	1.69 π rad
305°	5.323254 rad	1.69 π rad
306°	5.340708 rad	1.7 π rad
307°	5.358161 rad	1.71 π rad
308°	5.375614 rad	1.71 π rad
309°	5.393067 rad	1.72 π rad
310°	5.410521 rad	1.72 π rad
311°	5.427974 rad	1.73 π rad
312°	5.445427 rad	1.73 π rad
313°	5.462881 rad	1.74 π rad
314°	5.480334 rad	1.74 π rad
315°	5.497787 rad	1.75 π rad
316°	5.51524 rad	1.76 π rad
317°	5.532694 rad	1.76 π rad
318°	5.550147 rad	1.77 π rad
319°	5.5676 rad	1.77 π rad
320°	5.585054 rad	1.78 π rad
321°	5.602507 rad	1.78 π rad
322°	5.61996 rad	1.79 π rad
323°	5.637413 rad	1.79 π rad
324°	5.654867 rad	1.8 π rad
325°	5.67232 rad	1.81 π rad
326°	5.689773 rad	1.81 π rad
327°	5.707227 rad	1.82 π rad
328°	5.72468 rad	1.82 π rad
329°	5.742133 rad	1.83 π rad
330°	5.759587 rad	1.83 π rad
331°	5.77704 rad	1.84 π rad
332°	5.794493 rad	1.84 π rad
333°	5.811946 rad	1.85 π rad
334°	5.8294 rad	1.86 π rad
335°	5.846853 rad	1.86 π rad
336°	5.864306 rad	1.87 π rad
337°	5.88176 rad	1.87 π rad
338°	5.899213 rad	1.88 π rad
339°	5.916666 rad	1.88 π rad
340°	5.934119 rad	1.89 π rad
341°	5.951573 rad	1.89 π rad
342°	5.969026 rad	1.9 π rad
343°	5.986479 rad	1.91 π rad
344°	6.003933 rad	1.91 π rad
345°	6.021386 rad	1.92 π rad
346°	6.038839 rad	1.92 π rad
347°	6.056292 rad	1.93 π rad
348°	6.073746 rad	1.93 π rad
349°	6.091199 rad	1.94 π rad
350°	6.108652 rad	1.94 π rad
351°	6.126106 rad	1.95 π rad
352°	6.143559 rad	1.96 π rad
353°	6.161012 rad	1.96 π rad
354°	6.178466 rad	1.97 π rad
355°	6.195919 rad	1.97 π rad
356°	6.213372 rad	1.98 π rad
357°	6.230825 rad	1.98 π rad
358°	6.248279 rad	1.99 π rad
359°	6.265732 rad	1.99 π rad
360°	6.283185 rad	2 π rad

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