Convert Degrees to Radians
Angle Converter
Easily convert between Degrees (°) and Radians (rad). Essential for students, architects, engineers, and anyone working with geometry, trigonometry, or navigation.
Why Use It?
- Perfect for math, physics, astronomy, and engineering applications.
- Converts quickly and with high precision.
- Supports the most commonly used angle units.
Popular Conversions
Supported Units
- Degrees (°) - The most familiar unit of angle measurement; 360 degrees make a full circle.
- Radians (rad) - The SI unit for angles, based on the radius of a circle; 2π radians equal 360 degrees.
Common Uses
- Calculating angles in geometry and trigonometry problems.
- Converting navigation bearings.
- Performing calculations in physics and engineering involving rotational motion.
- Programming and computer graphics, where radians are often required.
- Astronomy and satellite trajectory computations.
Frequently Asked Questions
How many radians are in one degree?
One degree equals π/180 radians (approximately 0.01745 radians).
Why use radians instead of degrees?
Radians provide a natural measure of angles in mathematics and physics because they relate the angle directly to the radius and arc length of a circle.
Can I convert back and forth easily?
Yes. Degrees to radians: multiply by π/180. Radians to degrees: multiply by 180/π.
Are there other units for measuring angles?
Yes, such as gradians (or grads) and turns, but degrees and radians are by far the most common.
Degrees (°) to Radians (rad) Conversion Table
Degrees (°) | Radians (rad) |
---|---|
1 | 0.018 |
2 | 0.035 |
3 | 0.052 |
4 | 0.07 |
5 | 0.087 |
6 | 0.105 |
7 | 0.122 |
8 | 0.14 |
9 | 0.157 |
10 | 0.175 |
11 | 0.192 |
12 | 0.209 |
13 | 0.227 |
14 | 0.244 |
15 | 0.262 |
16 | 0.279 |
17 | 0.297 |
18 | 0.314 |
19 | 0.332 |
20 | 0.349 |
21 | 0.367 |
22 | 0.384 |
23 | 0.401 |
24 | 0.419 |
25 | 0.436 |
26 | 0.454 |
27 | 0.471 |
28 | 0.489 |
29 | 0.506 |
30 | 0.524 |
31 | 0.541 |
32 | 0.559 |
33 | 0.576 |
34 | 0.593 |
35 | 0.611 |
36 | 0.628 |
37 | 0.646 |
38 | 0.663 |
39 | 0.681 |
40 | 0.698 |
41 | 0.716 |
42 | 0.733 |
43 | 0.751 |
44 | 0.768 |
45 | 0.785 |
46 | 0.803 |
47 | 0.82 |
48 | 0.838 |
49 | 0.855 |
50 | 0.873 |
51 | 0.89 |
52 | 0.908 |
53 | 0.925 |
54 | 0.943 |
55 | 0.96 |
56 | 0.977 |
57 | 0.995 |
58 | 1.012 |
59 | 1.03 |
60 | 1.047 |
61 | 1.065 |
62 | 1.082 |
63 | 1.1 |
64 | 1.117 |
65 | 1.135 |
66 | 1.152 |
67 | 1.169 |
68 | 1.187 |
69 | 1.204 |
70 | 1.222 |
71 | 1.239 |
72 | 1.257 |
73 | 1.274 |
74 | 1.292 |
75 | 1.309 |
76 | 1.327 |
77 | 1.344 |
78 | 1.361 |
79 | 1.379 |
80 | 1.396 |
81 | 1.414 |
82 | 1.431 |
83 | 1.449 |
84 | 1.466 |
85 | 1.484 |
86 | 1.501 |
87 | 1.518 |
88 | 1.536 |
89 | 1.553 |
90 | 1.571 |
91 | 1.588 |
92 | 1.606 |
93 | 1.623 |
94 | 1.641 |
95 | 1.658 |
96 | 1.676 |
97 | 1.693 |
98 | 1.71 |
99 | 1.728 |
100 | 1.745 |
101 | 1.763 |
102 | 1.78 |
103 | 1.798 |
104 | 1.815 |
105 | 1.833 |
106 | 1.85 |
107 | 1.868 |
108 | 1.885 |
109 | 1.902 |
110 | 1.92 |
111 | 1.937 |
112 | 1.955 |
113 | 1.972 |
114 | 1.99 |
115 | 2.007 |
116 | 2.025 |
117 | 2.042 |
118 | 2.06 |
119 | 2.077 |
120 | 2.094 |
121 | 2.112 |
122 | 2.129 |
123 | 2.147 |
124 | 2.164 |
125 | 2.182 |
Degrees (°) | Radians (rad) |
---|---|
126 | 2.199 |
127 | 2.217 |
128 | 2.234 |
129 | 2.252 |
130 | 2.269 |
131 | 2.286 |
132 | 2.304 |
133 | 2.321 |
134 | 2.339 |
135 | 2.356 |
136 | 2.374 |
137 | 2.391 |
138 | 2.409 |
139 | 2.426 |
140 | 2.444 |
141 | 2.461 |
142 | 2.478 |
143 | 2.496 |
144 | 2.513 |
145 | 2.531 |
146 | 2.548 |
147 | 2.566 |
148 | 2.583 |
149 | 2.601 |
150 | 2.618 |
151 | 2.635 |
152 | 2.653 |
153 | 2.67 |
154 | 2.688 |
155 | 2.705 |
156 | 2.723 |
157 | 2.74 |
158 | 2.758 |
159 | 2.775 |
160 | 2.793 |
161 | 2.81 |
162 | 2.827 |
163 | 2.845 |
164 | 2.862 |
165 | 2.88 |
166 | 2.897 |
167 | 2.915 |
168 | 2.932 |
169 | 2.95 |
170 | 2.967 |
171 | 2.985 |
172 | 3.002 |
173 | 3.019 |
174 | 3.037 |
175 | 3.054 |
176 | 3.072 |
177 | 3.089 |
178 | 3.107 |
179 | 3.124 |
180 | 3.142 |
181 | 3.159 |
182 | 3.177 |
183 | 3.194 |
184 | 3.211 |
185 | 3.229 |
186 | 3.246 |
187 | 3.264 |
188 | 3.281 |
189 | 3.299 |
190 | 3.316 |
191 | 3.334 |
192 | 3.351 |
193 | 3.369 |
194 | 3.386 |
195 | 3.403 |
196 | 3.421 |
197 | 3.438 |
198 | 3.456 |
199 | 3.473 |
200 | 3.491 |
201 | 3.508 |
202 | 3.526 |
203 | 3.543 |
204 | 3.561 |
205 | 3.578 |
206 | 3.595 |
207 | 3.613 |
208 | 3.63 |
209 | 3.648 |
210 | 3.665 |
211 | 3.683 |
212 | 3.7 |
213 | 3.718 |
214 | 3.735 |
215 | 3.753 |
216 | 3.77 |
217 | 3.787 |
218 | 3.805 |
219 | 3.822 |
220 | 3.84 |
221 | 3.857 |
222 | 3.875 |
223 | 3.892 |
224 | 3.91 |
225 | 3.927 |
226 | 3.944 |
227 | 3.962 |
228 | 3.979 |
229 | 3.997 |
230 | 4.014 |
231 | 4.032 |
232 | 4.049 |
233 | 4.067 |
234 | 4.084 |
235 | 4.102 |
236 | 4.119 |
237 | 4.136 |
238 | 4.154 |
239 | 4.171 |
240 | 4.189 |
241 | 4.206 |
242 | 4.224 |
243 | 4.241 |
244 | 4.259 |
245 | 4.276 |
246 | 4.294 |
247 | 4.311 |
248 | 4.328 |
249 | 4.346 |
250 | 4.363 |
Degrees (°) | Radians (rad) |
---|---|
251 | 4.381 |
252 | 4.398 |
253 | 4.416 |
254 | 4.433 |
255 | 4.451 |
256 | 4.468 |
257 | 4.486 |
258 | 4.503 |
259 | 4.52 |
260 | 4.538 |
261 | 4.555 |
262 | 4.573 |
263 | 4.59 |
264 | 4.608 |
265 | 4.625 |
266 | 4.643 |
267 | 4.66 |
268 | 4.678 |
269 | 4.695 |
270 | 4.712 |
271 | 4.73 |
272 | 4.747 |
273 | 4.765 |
274 | 4.782 |
275 | 4.8 |
276 | 4.817 |
277 | 4.835 |
278 | 4.852 |
279 | 4.87 |
280 | 4.887 |
281 | 4.904 |
282 | 4.922 |
283 | 4.939 |
284 | 4.957 |
285 | 4.974 |
286 | 4.992 |
287 | 5.009 |
288 | 5.027 |
289 | 5.044 |
290 | 5.062 |
291 | 5.079 |
292 | 5.096 |
293 | 5.114 |
294 | 5.131 |
295 | 5.149 |
296 | 5.166 |
297 | 5.184 |
298 | 5.201 |
299 | 5.219 |
300 | 5.236 |
301 | 5.253 |
302 | 5.271 |
303 | 5.288 |
304 | 5.306 |
305 | 5.323 |
306 | 5.341 |
307 | 5.358 |
308 | 5.376 |
309 | 5.393 |
310 | 5.411 |
311 | 5.428 |
312 | 5.445 |
313 | 5.463 |
314 | 5.48 |
315 | 5.498 |
316 | 5.515 |
317 | 5.533 |
318 | 5.55 |
319 | 5.568 |
320 | 5.585 |
321 | 5.603 |
322 | 5.62 |
323 | 5.637 |
324 | 5.655 |
325 | 5.672 |
326 | 5.69 |
327 | 5.707 |
328 | 5.725 |
329 | 5.742 |
330 | 5.76 |
331 | 5.777 |
332 | 5.795 |
333 | 5.812 |
334 | 5.829 |
335 | 5.847 |
336 | 5.864 |
337 | 5.882 |
338 | 5.899 |
339 | 5.917 |
340 | 5.934 |
341 | 5.952 |
342 | 5.969 |
343 | 5.987 |
344 | 6.004 |
345 | 6.021 |
346 | 6.039 |
347 | 6.056 |
348 | 6.074 |
349 | 6.091 |
350 | 6.109 |
351 | 6.126 |
352 | 6.144 |
353 | 6.161 |
354 | 6.179 |
355 | 6.196 |
356 | 6.213 |
357 | 6.231 |
358 | 6.248 |
359 | 6.266 |
360 | 6.283 |
361 | 6.301 |
362 | 6.318 |
363 | 6.336 |
364 | 6.353 |
365 | 6.371 |
366 | 6.388 |
367 | 6.405 |
368 | 6.423 |
369 | 6.44 |
370 | 6.458 |
371 | 6.475 |
372 | 6.493 |
373 | 6.51 |
374 | 6.528 |
375 | 6.545 |
Degrees (°) | Radians (rad) |
---|---|
376 | 6.562 |
377 | 6.58 |
378 | 6.597 |
379 | 6.615 |
380 | 6.632 |
381 | 6.65 |
382 | 6.667 |
383 | 6.685 |
384 | 6.702 |
385 | 6.72 |
386 | 6.737 |
387 | 6.754 |
388 | 6.772 |
389 | 6.789 |
390 | 6.807 |
391 | 6.824 |
392 | 6.842 |
393 | 6.859 |
394 | 6.877 |
395 | 6.894 |
396 | 6.912 |
397 | 6.929 |
398 | 6.946 |
399 | 6.964 |
400 | 6.981 |
401 | 6.999 |
402 | 7.016 |
403 | 7.034 |
404 | 7.051 |
405 | 7.069 |
406 | 7.086 |
407 | 7.104 |
408 | 7.121 |
409 | 7.138 |
410 | 7.156 |
411 | 7.173 |
412 | 7.191 |
413 | 7.208 |
414 | 7.226 |
415 | 7.243 |
416 | 7.261 |
417 | 7.278 |
418 | 7.296 |
419 | 7.313 |
420 | 7.33 |
421 | 7.348 |
422 | 7.365 |
423 | 7.383 |
424 | 7.4 |
425 | 7.418 |
426 | 7.435 |
427 | 7.453 |
428 | 7.47 |
429 | 7.488 |
430 | 7.505 |
431 | 7.522 |
432 | 7.54 |
433 | 7.557 |
434 | 7.575 |
435 | 7.592 |
436 | 7.61 |
437 | 7.627 |
438 | 7.645 |
439 | 7.662 |
440 | 7.679 |
441 | 7.697 |
442 | 7.714 |
443 | 7.732 |
444 | 7.749 |
445 | 7.767 |
446 | 7.784 |
447 | 7.802 |
448 | 7.819 |
449 | 7.837 |
450 | 7.854 |
451 | 7.871 |
452 | 7.889 |
453 | 7.906 |
454 | 7.924 |
455 | 7.941 |
456 | 7.959 |
457 | 7.976 |
458 | 7.994 |
459 | 8.011 |
460 | 8.029 |
461 | 8.046 |
462 | 8.063 |
463 | 8.081 |
464 | 8.098 |
465 | 8.116 |
466 | 8.133 |
467 | 8.151 |
468 | 8.168 |
469 | 8.186 |
470 | 8.203 |
471 | 8.221 |
472 | 8.238 |
473 | 8.255 |
474 | 8.273 |
475 | 8.29 |
476 | 8.308 |
477 | 8.325 |
478 | 8.343 |
479 | 8.36 |
480 | 8.378 |
481 | 8.395 |
482 | 8.413 |
483 | 8.43 |
484 | 8.447 |
485 | 8.465 |
486 | 8.482 |
487 | 8.5 |
488 | 8.517 |
489 | 8.535 |
490 | 8.552 |
491 | 8.57 |
492 | 8.587 |
493 | 8.605 |
494 | 8.622 |
495 | 8.639 |
496 | 8.657 |
497 | 8.674 |
498 | 8.692 |
499 | 8.709 |
500 | 8.727 |