Home Conversion Angle Degrees to Radians

Degrees to Radians Converter

Convert the degree values to radians and enter the degree value below and press the Convert button to convert it to radians.

Degrees (°) to Radians (rad) Conversion:

1° = 1° × (π/180°) rad

1° = 0.0055555556π rad

1° = 0.0174532925 rad

How to Convert Degrees to Radians

π = 3.1415926536

One circle angle is 360° (degrees) and 360° = 2π radians. Therefore, the value of 1 radian is equal to 180 / π.

360° = 2π radian

180° = π radian

1° = (π180°) radian

1° = 0.0055555556π radian

1° = 0.0174532925 radian

If theta "θ" represents angle in degrees and alpha "α" represents angle in radians, then degrees to radians conversion formula is equal to:

αradians = θdegrees × (π180°)

or

radians = degrees × (π180°)

Degrees to Radians Examples

Example 1:

Example 2:

Example 3:

Degrees to Radians Common Conversions

Degrees (°) Radians (rad) Radians (rad)
0 rad 0 rad
30° π/6 rad 0.5235987756 rad
45° π/4 rad 0.7853981634 rad
60° π/3 rad 1.0471975512 rad
90° π/2 rad 1.5707963268 rad
120° 2π/3 rad 2.0943951024 rad
135° 3π/4 rad 2.3561944902 rad
150° 5π/6 rad 2.617993878 rad
180° π rad 3.1415926536 rad
270° 3π/2 rad 4.7123889804 rad
360° 2π rad 6.2831853072 rad

Degrees to Radians Conversion Table

The degree values are converted to their corresponding radian values both as multiples of π and the final converted value in radians. All the values are converted with up to 10 decimal places.

Degrees (°) Radians (rad) Multiples of π (rad)
0 rad0 rad
10.01745329250.0055555556 π
0.0349065850 rad0.0111111111 π
0.0523598776 rad0.0166666667 π
0.0698131701 rad0.0222222222 π
0.0872664626 rad0.0277777778 π
0.1047197551 rad0.0333333333 π
0.1221730476 rad0.0388888889 π
0.1396263402 rad0.0444444444 π
0.1570796327 rad0.05 π
10°0.1745329252 rad0.0555555556 π
11°0.1919862177 rad0.0611111111 π
12°0.2094395102 rad0.0666666667 π
13°0.2268928028 rad0.0722222222 π
14°0.2443460953 rad0.0777777778 π
15°0.2617993878 rad0.0833333333 π
16°0.2792526803 rad0.0888888889 π
17°0.2967059728 rad0.0944444444 π
18°0.3141592654 rad0.1 π
19°0.3316125579 rad0.1055555556 π
20°0.3490658504 rad0.1111111111 π
21°0.3665191429 rad0.1166666667 π
22°0.3839724354 rad0.1222222222 π
23°0.4014257280 rad0.1277777778 π
24°0.4188790205 rad0.1333333333 π
25°0.4363323130 rad0.1388888889 π
26°0.4537856055 rad0.1444444444 π
27°0.4712388980 rad0.15 π
28°0.4886921906 rad0.1555555556 π
29°0.5061454831 rad0.1611111111 π
30°0.5235987756 rad0.1666666667 π
31°0.5410520681 rad0.1722222222 π
32°0.5585053606 rad0.1777777778 π
33°0.5759586532 rad0.1833333333 π
34°0.5934119457 rad0.1888888889 π
35°0.6108652382 rad0.1944444444 π
36°0.6283185307 rad0.2 π
37°0.6457718232 rad0.2055555556 π
38°0.6632251158 rad0.2111111111 π
39°0.6806784083 rad0.2166666667 π
40°0.6981317008 rad0.2222222222 π
41°0.7155849933 rad0.2277777778 π
42°0.7330382858 rad0.2333333333 π
43°0.7504915784 rad0.2388888889 π
44°0.7679448709 rad0.2444444444 π
45°0.7853981634 rad0.25 π
46°0.8028514559 rad0.2555555556 π
47°0.8203047484 rad0.2611111111 π
48°0.8377580410 rad0.2666666667 π
49°0.8552113335 rad0.2722222222 π
50°0.8726646260 rad0.2777777778 π
51°0.8901179185 rad0.2833333333 π
52°0.9075712111 rad0.2888888889 π
53°0.9250245036 rad0.2944444444 π
54°0.9424777961 rad0.3 π
55°0.9599310886 rad0.3055555556 π
56°0.9773843811 rad0.3111111111 π
57°0.9948376737 rad0.3166666667 π
58°1.0122909662 rad0.3222222222 π
59°1.0297442587 rad0.3277777778 π
60°1.0471975512 rad0.3333333333 π
61°1.0646508437 rad0.3388888889 π
62°1.0821041363 rad0.3444444444 π
63°1.0995574288 rad0.35 π
64°1.1170107213 rad0.3555555556 π
65°1.1344640138 rad0.3611111111 π
66°1.1519173064 rad0.3666666667 π
67°1.1693705989 rad0.3722222222 π
68°1.1868238914 rad0.3777777778 π
69°1.2042771839 rad0.3833333333 π
70°1.2217304764 rad0.3888888889 π
71°1.2391837690 rad0.3944444444 π
72°1.2566370615 rad0.4 π
73°1.2740903540 rad0.4055555556 π
74°1.2915436465 rad0.4111111111 π
75°1.3089969390 rad0.4166666667 π
76°1.3264502315 rad0.4222222222 π
77°1.3439035241 rad0.4277777778 π
78°1.3613568166 rad0.4333333333 π
79°1.3788101091 rad0.4388888889 π
80°1.3962634016 rad0.4444444444 π
81°1.4137166941 rad0.45 π
82°1.4311700867 rad0.4555555556 π
83°1.4486233792 rad0.4611111111 π
84°1.4660766717 rad0.4666666667 π
85°1.4835299642 rad0.4722222222 π
86°1.5009832567 rad0.4777777778 π
87°1.5184365493 rad0.4833333333 π
88°1.5358898418 rad0.4888888889 π
89°1.5533431343 rad0.4944444444 π
90°1.5707963268 rad0.5 π
91°1.5882496193 rad0.5055555556 π
92°1.6057029119 rad0.5111111111 π
93°1.6231562044 rad0.5166666667 π
94°1.6406094969 rad0.5222222222 π
95°1.6580627894 rad0.5277777778 π
96°1.6755160819 rad0.5333333333 π
97°1.6929693744 rad0.5388888889 π
98°1.7104226670 rad0.5444444444 π
99°1.7278759595 rad0.55 π
100°1.7453292520 rad0.5555555556 π
101°1.7627825445 rad0.5611111111 π
102°1.7802358370 rad0.5666666667 π
103°1.7976891296 rad0.5722222222 π
104°1.8151424221 rad0.5777777778 π
105°1.8325957146 rad0.5833333333 π
106°1.8500490071 rad0.5888888889 π
107°1.8675022996 rad0.5944444444 π
108°1.8849555922 rad0.6 π
109°1.9024088847 rad0.6055555556 π
110°1.9198621772 rad0.6111111111 π
111°1.9373154697 rad0.6166666667 π
112°1.9547687622 rad0.6222222222 π
113°1.9722220548 rad0.6277777778 π
114°1.9896753473 rad0.6333333333 π
115°2.0071286398 rad0.6388888889 π
116°2.0245819323 rad0.6444444444 π
117°2.0420352248 rad0.65 π
118°2.0594885174 rad0.6555555556 π
119°2.0769418099 rad0.6611111111 π
120°2.0943951024 rad0.6666666667 π
121°2.1118483949 rad0.6722222222 π
122°2.1293016874 rad0.6777777778 π
123°2.1467549799 rad0.6833333333 π
124°2.1642082725 rad0.6888888889 π
125°2.1816615650 rad0.6944444444 π
126°2.1991148575 rad0.7 π
127°2.2165681500 rad0.7055555556 π
128°2.2340214425 rad0.7111111111 π
129°2.2514747351 rad0.7166666667 π
130°2.2689280276 rad0.7222222222 π
131°2.2863813201 rad0.7277777778 π
132°2.3038346126 rad0.7333333333 π
133°2.3212879051 rad0.7388888889 π
134°2.3387411977 rad0.7444444444 π
135°2.3561944902 rad0.75 π
136°2.3736477827 rad0.7555555556 π
137°2.3911010752 rad0.7611111111 π
138°2.4085543677 rad0.7666666667 π
139°2.4260076603 rad0.7722222222 π
140°2.4434609528 rad0.7777777778 π
141°2.4609142453 rad0.7833333333 π
142°2.4783675378 rad0.7888888889 π
143°2.4958208303 rad0.7944444444 π
144°2.5132741229 rad0.8 π
145°2.5307274154 rad0.8055555556 π
146°2.5481807079 rad0.8111111111 π
147°2.5656340004 rad0.8166666667 π
148°2.5830872929 rad0.8222222222 π
149°2.6005405855 rad0.8277777778 π
150°2.6179938780 rad0.8333333333 π
151°2.6354471705 rad0.8388888889 π
152°2.6529004630 rad0.8444444444 π
153°2.6703537555 rad0.85 π
154°2.6878070481 rad0.8555555556 π
155°2.7052603406 rad0.8611111111 π
156°2.7227136331 rad0.8666666667 π
157°2.7401669256 rad0.8722222222 π
158°2.7576202181 rad0.8777777778 π
159°2.7750735107 rad0.8833333333 π
160°2.7925268032 rad0.8888888889 π
161°2.8099800957 rad0.8944444444 π
162°2.8274333882 rad0.9 π
163°2.8448866807 rad0.9055555556 π
164°2.8623399733 rad0.9111111111 π
165°2.8797932658 rad0.9166666667 π
166°2.8972465583 rad0.9222222222 π
167°2.9146998508 rad0.9277777778 π
168°2.9321531433 rad0.9333333333 π
169°2.9496064359 rad0.9388888889 π
170°2.9670597284 rad0.9444444444 π
171°2.9845130209 rad0.95 π
172°3.0019663134 rad0.9555555556 π
173°3.0194196059 rad0.9611111111 π
174°3.0368728985 rad0.9666666667 π
175°3.0543261910 rad0.9722222222 π
176°3.0717794835 rad0.9777777778 π
177°3.0892327760 rad0.9833333333 π
178°3.1066860685 rad0.9888888889 π
179°3.1241393611 rad0.9944444444 π
180°3.1415926536 radπ
Degrees (°) Radians (rad) Multiples of π (rad)
181°3.1590459461 rad1.0055555556 π
182°3.1764992386 rad1.0111111111 π
183°3.1939525311 rad1.0166666667 π
184°3.2114058237 rad1.0222222222 π
185°3.2288591162 rad1.0277777778 π
186°3.2463124087 rad1.0333333333 π
187°3.2637657012 rad1.0388888889 π
188°3.2812189937 rad1.0444444444 π
189°3.2986722863 rad1.05 π
190°3.3161255788 rad1.0555555556 π
191°3.3335788713 rad1.0611111111 π
192°3.3510321638 rad1.0666666667 π
193°3.3684854563 rad1.0722222222 π
194°3.3859387489 rad1.0777777778 π
195°3.4033920414 rad1.0833333333 π
196°3.4208453339 rad1.0888888889 π
197°3.4382986264 rad1.0944444444 π
198°3.4557519189 rad1.1 π
199°3.4732052115 rad1.1055555556 π
200°3.4906585040 rad1.1111111111 π
201°3.5081117965 rad1.1166666667 π
202°3.5255650890 rad1.1222222222 π
203°3.5430183815 rad1.1277777778 π
204°3.5604716741 rad1.1333333333 π
205°3.5779249666 rad1.1388888889 π
206°3.5953782591 rad1.1444444444 π
207°3.6128315516 rad1.15 π
208°3.6302848441 rad1.1555555556 π
209°3.6477381367 rad1.1611111111 π
210°3.6651914292 rad1.1666666667 π
211°3.6826447217 rad1.1722222222 π
212°3.7000980142 rad1.1777777778 π
213°3.7175513067 rad1.1833333333 π
214°3.7350045993 rad1.1888888889 π
215°3.7524578918 rad1.1944444444 π
216°3.7699111843 rad1.2 π
217°3.7873644768 rad1.2055555556 π
218°3.8048177693 rad1.2111111111 π
219°3.8222710619 rad1.2166666667 π
220°3.8397243544 rad1.2222222222 π
221°3.8571776469 rad1.2277777778 π
222°3.8746309394 rad1.2333333333 π
223°3.8920842319 rad1.2388888889 π
224°3.9095375245 rad1.2444444444 π
225°3.9269908170 rad1.25 π
226°3.9444441095 rad1.2555555556 π
227°3.9618974020 rad1.2611111111 π
228°3.9793506945 rad1.2666666667 π
229°3.9968039871 rad1.2722222222 π
230°4.0142572796 rad1.2777777778 π
231°4.0317105721 rad1.2833333333 π
232°4.0491638646 rad1.2888888889 π
233°4.0666171571 rad1.2944444444 π
234°4.0840704497 rad1.3 π
235°4.1015237422 rad1.3055555556 π
236°4.1189770347 rad1.3111111111 π
237°4.1364303272 rad1.3166666667 π
238°4.1538836197 rad1.3222222222 π
239°4.1713369123 rad1.3277777778 π
240°4.1887902048 rad1.3333333333 π
241°4.2062434973 rad1.3388888889 π
242°4.2236967898 rad1.3444444444 π
243°4.2411500823 rad1.35 π
244°4.2586033749 rad1.3555555556 π
245°4.2760566674 rad1.3611111111 π
246°4.2935099599 rad1.3666666667 π
247°4.3109632524 rad1.3722222222 π
248°4.3284165449 rad1.3777777778 π
249°4.3458698374 rad1.3833333333 π
250°4.3633231300 rad1.3888888889 π
251°4.3807764225 rad1.3944444444 π
252°4.3982297150 rad1.4 π
253°4.4156830075 rad1.4055555556 π
254°4.4331363000 rad1.4111111111 π
255°4.4505895926 rad1.4166666667 π
256°4.4680428851 rad1.4222222222 π
257°4.4854961776 rad1.4277777778 π
258°4.5029494701 rad1.4333333333 π
259°4.5204027626 rad1.4388888889 π
260°4.5378560552 rad1.4444444444 π
261°4.5553093477 rad1.45 π
262°4.5727626402 rad1.4555555556 π
263°4.5902159327 rad1.4611111111 π
264°4.6076692252 rad1.4666666667 π
265°4.6251225178 rad1.4722222222 π
266°4.6425758103 rad1.4777777778 π
267°4.6600291028 rad1.4833333333 π
268°4.6774823953 rad1.4888888889 π
269°4.6949356878 rad1.4944444444 π
270°4.7123889804 rad1.5 π
271°4.7298422729 rad1.5055555556 π
272°4.7472955654 rad1.5111111111 π
273°4.7647488579 rad1.5166666667 π
274°4.7822021504 rad1.5222222222 π
275°4.7996554430 rad1.5277777778 π
276°4.8171087355 rad1.5333333333 π
277°4.8345620280 rad1.5388888889 π
278°4.8520153205 rad1.5444444444 π
279°4.8694686130 rad1.55 π
280°4.8869219056 rad1.5555555556 π
281°4.9043751981 rad1.5611111111 π
282°4.9218284906 rad1.5666666667 π
283°4.9392817831 rad1.5722222222 π
284°4.9567350756 rad1.5777777778 π
285°4.9741883682 rad1.5833333333 π
286°4.9916416607 rad1.5888888889 π
287°5.0090949532 rad1.5944444444 π
288°5.0265482457 rad1.6 π
289°5.0440015382 rad1.6055555556 π
290°5.0614548308 rad1.6111111111 π
291°5.0789081233 rad1.6166666667 π
292°5.0963614158 rad1.6222222222 π
293°5.1138147083 rad1.6277777778 π
294°5.1312679908 rad1.6333333333 π
295°5.1487212834 rad1.6388888889 π
296°5.1661745759 rad1.6444444444 π
297°5.1836278684 rad1.65 π
298°5.2010811609 rad1.6555555556 π
299°5.2185344534 rad1.6611111111 π
300°5.2359877460 rad1.6666666667 π
301°5.2534410385 rad1.6722222222 π
302°5.2708943310 rad1.6777777778 π
303°5.2883476235 rad1.6833333333 π
304°5.3058009160 rad1.6888888889 π
305°5.3232542086 rad1.6944444444 π
306°5.3407075011 rad1.7 π
307°5.3581607936 rad1.7055555556 π
308°5.3756140861 rad1.7111111111 π
309°5.3930673786 rad1.7166666667 π
310°5.4105206712 rad1.7222222222 π
311°5.4279739637 rad1.7277777778 π
312°5.4454272562 rad1.7333333333 π
313°5.4628805487 rad1.7388888889 π
314°5.4803338412 rad1.7444444444 π
315°5.4977871337 rad1.75 π
316°5.5152404263 rad1.7555555556 π
317°5.5326937188 rad1.7611111111 π
318°5.5501470113 rad1.7666666667 π
319°5.5676003038 rad1.7722222222 π
320°5.5850535963 rad1.7777777778 π
321°5.6025068889 rad1.7833333333 π
322°5.6199601814 rad1.7888888889 π
323°5.6374134739 rad1.7944444444 π
324°5.6548667664 rad1.8 π
325°5.6723200589 rad1.8055555556 π
326°5.6897733515 rad1.8111111111 π
327°5.7072266440 rad1.8166666667 π
328°5.7246799365 rad1.8222222222 π
329°5.7421332290 rad1.8277777778 π
330°5.7595865215 rad1.8333333333 π
331°5.7770398141 rad1.8388888889 π
332°5.7944931066 rad1.8444444444 π
333°5.8119463991 rad1.85 π
334°5.8293996916 rad1.8555555556 π
335°5.8468529841 rad1.8611111111 π
336°5.8643062767 rad1.8666666667 π
337°5.8817595692 rad1.8722222222 π
338°5.8992128617 rad1.8777777778 π
339°5.9166661542 rad1.8833333333 π
340°5.9341194467 rad1.8888888889 π
341°5.9515727393 rad1.8944444444 π
342°5.9690260318 rad1.9 π
343°5.9864793243 rad1.9055555556 π
344°6.0039326168 rad1.9111111111 π
345°6.0213859093 rad1.9166666667 π
346°6.0388392019 rad1.9222222222 π
347°6.0562924944 rad1.9277777778 π
348°6.0737457869 rad1.9333333333 π
349°6.0911990794 rad1.9388888889 π
350°6.1086523719 rad1.9444444444 π
351°6.1261056645 rad1.95 π
352°6.1435589570 rad1.9555555556 π
353°6.1610122495 rad1.9611111111 π
354°6.1784655420 rad1.9666666667 π
355°6.1959188345 rad1.9722222222 π
356°6.2133721271 rad1.9777777778 π
357°6.2308254196 rad1.9833333333 π
358°6.2482787121 rad1.9888888889 π
359°6.2657320046 rad1.9944444444 π
360°6.2831853072 rad2 π

by Wasim Khan and it was last modified on

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