Conversor de Graus para pi Radianos

180° = π radianos ou 3.1415926535898 radianos na forma decimal.

Converter graus a π radianos

Ângulo em graus:

Resposta:

180° = π radiano

Solução com explicação passo-a-passo

Uma vez que 180° corresponde a pi, podemos escrever a seguinte fórmula para converter de graus para π radianos:

α em radianos = α em graus × π/180
OU
α rad = α° × π/180

Substitituindo o valor do ângulo (180°), em graus, na fórmula acima, obtemos:

α rad = π × 180/180 =

(π × 180÷180)/(180÷180) = π radiano, quando simplificada a fração.

Nota: π rad pode também ser escrito como um número real ou decimal (não em termos de pi) como 1π rad = 3.1415926535898 radianos.

Consulte também nossa tabela de graus a pi radianos.

Utilizando o Conversor de Graus para pi Radianos acima, você encontrará o valor exato de qualquer outr ângulo em radianos em termos de pi. A calculadora mostra explicações passo-a-passo.

Como converter 180 em radianos em termos de pi (πrad) - Explicação passo-a-passo

Uma forma de converter o valor de um ângulo em graus para radianos é utilizar a seguinte fórmula:

valor em radianos = (valor em graus × π)/180

Passo-a-passo

Passo 1: Substitua o valor do ângulo, em graus, na fórmula acima:

valor em radianos = (180 × π)/180

Passo 2: Reorganize os termos:

valor em radianos = π × 180/180

Passo 3: Simplifique a fração de π se for necessário.

Ache o mdc de 180 e 180 [mdc(180,180)], que neste caso, é igual a 180.

Assim, podemos simplificar a fração desta forma:

Divida tanto o numerador com o numerador pelo mdc (máximo divisor comum) 180,obtendo:

π × 180÷180/180÷180 que é igual a π radiano, depois de simplificar ou reduzir a fração.

Tabela de conversão de radianos para graus de 0 a 360 graus

Graus Radianos
=0 rad
0.5°=π/360 rad
=π/180 rad
1.5°=π/120 rad
=π/90 rad
2.5°=π/72 rad
=π/60 rad
3.5°=7π/360 rad
=π/45 rad
4.5°=π/40 rad
=π/36 rad
5.5°=11π/360 rad
=π/30 rad
6.5°=13π/360 rad
=7π/180 rad
7.5°=π/24 rad
=2π/45 rad
8.5°=17π/360 rad
=π/20 rad
9.5°=19π/360 rad
10°=π/18 rad
10.5°=7π/120 rad
11°=11π/180 rad
11.5°=23π/360 rad
12°=π/15 rad
12.5°=5π/72 rad
13°=13π/180 rad
13.5°=3π/40 rad
14°=7π/90 rad
14.5°=29π/360 rad
15°=π/12 rad
15.5°=31π/360 rad
16°=4π/45 rad
16.5°=11π/120 rad
17°=17π/180 rad
17.5°=7π/72 rad
18°=π/10 rad
18.5°=37π/360 rad
19°=19π/180 rad
19.5°=13π/120 rad
20°=π/9 rad
20.5°=41π/360 rad
21°=7π/60 rad
21.5°=43π/360 rad
22°=11π/90 rad
22.5°=π/8 rad
23°=23π/180 rad
23.5°=47π/360 rad
24°=2π/15 rad
24.5°=49π/360 rad
25°=5π/36 rad
25.5°=17π/120 rad
26°=13π/90 rad
26.5°=53π/360 rad
27°=3π/20 rad
27.5°=11π/72 rad
28°=7π/45 rad
28.5°=19π/120 rad
29°=29π/180 rad
29.5°=59π/360 rad
30°=π/6 rad
30.5°=61π/360 rad
31°=31π/180 rad
31.5°=7π/40 rad
32°=8π/45 rad
32.5°=13π/72 rad
33°=11π/60 rad
33.5°=67π/360 rad
34°=17π/90 rad
34.5°=23π/120 rad
35°=7π/36 rad
35.5°=71π/360 rad
36°=π/5 rad
36.5°=73π/360 rad
37°=37π/180 rad
37.5°=5π/24 rad
38°=19π/90 rad
38.5°=77π/360 rad
39°=13π/60 rad
39.5°=79π/360 rad
40°=2π/9 rad
40.5°=9π/40 rad
41°=41π/180 rad
41.5°=83π/360 rad
42°=7π/30 rad
42.5°=17π/72 rad
43°=43π/180 rad
43.5°=29π/120 rad
44°=11π/45 rad
44.5°=89π/360 rad
45°=π/4 rad
45.5°=91π/360 rad
46°=23π/90 rad
46.5°=31π/120 rad
47°=47π/180 rad
47.5°=19π/72 rad
48°=4π/15 rad
48.5°=97π/360 rad
49°=49π/180 rad
49.5°=11π/40 rad
50°=5π/18 rad
50.5°=101π/360 rad
51°=17π/60 rad
51.5°=103π/360 rad
52°=13π/45 rad
52.5°=7π/24 rad
53°=53π/180 rad
53.5°=107π/360 rad
54°=3π/10 rad
54.5°=109π/360 rad
55°=11π/36 rad
55.5°=37π/120 rad
56°=14π/45 rad
56.5°=113π/360 rad
57°=19π/60 rad
57.5°=23π/72 rad
58°=29π/90 rad
58.5°=13π/40 rad
59°=59π/180 rad
59.5°=119π/360 rad
60°=π/3 rad
60.5°=121π/360 rad
61°=61π/180 rad
61.5°=41π/120 rad
62°=31π/90 rad
62.5°=25π/72 rad
63°=7π/20 rad
63.5°=127π/360 rad
64°=16π/45 rad
64.5°=43π/120 rad
65°=13π/36 rad
65.5°=131π/360 rad
66°=11π/30 rad
66.5°=133π/360 rad
67°=67π/180 rad
67.5°=3π/8 rad
68°=17π/45 rad
68.5°=137π/360 rad
69°=23π/60 rad
69.5°=139π/360 rad
70°=7π/18 rad
70.5°=47π/120 rad
71°=71π/180 rad
71.5°=143π/360 rad
72°=2π/5 rad
72.5°=29π/72 rad
73°=73π/180 rad
73.5°=49π/120 rad
74°=37π/90 rad
74.5°=149π/360 rad
75°=5π/12 rad
75.5°=151π/360 rad
76°=19π/45 rad
76.5°=17π/40 rad
77°=77π/180 rad
77.5°=31π/72 rad
78°=13π/30 rad
78.5°=157π/360 rad
79°=79π/180 rad
79.5°=53π/120 rad
80°=4π/9 rad
80.5°=161π/360 rad
81°=9π/20 rad
81.5°=163π/360 rad
82°=41π/90 rad
82.5°=11π/24 rad
83°=83π/180 rad
83.5°=167π/360 rad
84°=7π/15 rad
84.5°=169π/360 rad
85°=17π/36 rad
85.5°=19π/40 rad
86°=43π/90 rad
86.5°=173π/360 rad
87°=29π/60 rad
87.5°=35π/72 rad
88°=22π/45 rad
88.5°=59π/120 rad
89°=89π/180 rad
89.5°=179π/360 rad
Graus Radianos
90°=π/2 rad
90.5°=181π/360 rad
91°=91π/180 rad
91.5°=61π/120 rad
92°=23π/45 rad
92.5°=37π/72 rad
93°=31π/60 rad
93.5°=187π/360 rad
94°=47π/90 rad
94.5°=21π/40 rad
95°=19π/36 rad
95.5°=191π/360 rad
96°=8π/15 rad
96.5°=193π/360 rad
97°=97π/180 rad
97.5°=13π/24 rad
98°=49π/90 rad
98.5°=197π/360 rad
99°=11π/20 rad
99.5°=199π/360 rad
100°=5π/9 rad
100.5°=67π/120 rad
101°=101π/180 rad
101.5°=203π/360 rad
102°=17π/30 rad
102.5°=41π/72 rad
103°=103π/180 rad
103.5°=23π/40 rad
104°=26π/45 rad
104.5°=209π/360 rad
105°=7π/12 rad
105.5°=211π/360 rad
106°=53π/90 rad
106.5°=71π/120 rad
107°=107π/180 rad
107.5°=43π/72 rad
108°=3π/5 rad
108.5°=217π/360 rad
109°=109π/180 rad
109.5°=73π/120 rad
110°=11π/18 rad
110.5°=221π/360 rad
111°=37π/60 rad
111.5°=223π/360 rad
112°=28π/45 rad
112.5°=5π/8 rad
113°=113π/180 rad
113.5°=227π/360 rad
114°=19π/30 rad
114.5°=229π/360 rad
115°=23π/36 rad
115.5°=77π/120 rad
116°=29π/45 rad
116.5°=233π/360 rad
117°=13π/20 rad
117.5°=47π/72 rad
118°=59π/90 rad
118.5°=79π/120 rad
119°=119π/180 rad
119.5°=239π/360 rad
120°=2π/3 rad
120.5°=241π/360 rad
121°=121π/180 rad
121.5°=27π/40 rad
122°=61π/90 rad
122.5°=49π/72 rad
123°=41π/60 rad
123.5°=247π/360 rad
124°=31π/45 rad
124.5°=83π/120 rad
125°=25π/36 rad
125.5°=251π/360 rad
126°=7π/10 rad
126.5°=253π/360 rad
127°=127π/180 rad
127.5°=17π/24 rad
128°=32π/45 rad
128.5°=257π/360 rad
129°=43π/60 rad
129.5°=259π/360 rad
130°=13π/18 rad
130.5°=29π/40 rad
131°=131π/180 rad
131.5°=263π/360 rad
132°=11π/15 rad
132.5°=53π/72 rad
133°=133π/180 rad
133.5°=89π/120 rad
134°=67π/90 rad
134.5°=269π/360 rad
135°=3π/4 rad
135.5°=271π/360 rad
136°=34π/45 rad
136.5°=91π/120 rad
137°=137π/180 rad
137.5°=55π/72 rad
138°=23π/30 rad
138.5°=277π/360 rad
139°=139π/180 rad
139.5°=31π/40 rad
140°=7π/9 rad
140.5°=281π/360 rad
141°=47π/60 rad
141.5°=283π/360 rad
142°=71π/90 rad
142.5°=19π/24 rad
143°=143π/180 rad
143.5°=287π/360 rad
144°=4π/5 rad
144.5°=289π/360 rad
145°=29π/36 rad
145.5°=97π/120 rad
146°=73π/90 rad
146.5°=293π/360 rad
147°=49π/60 rad
147.5°=59π/72 rad
148°=37π/45 rad
148.5°=33π/40 rad
149°=149π/180 rad
149.5°=299π/360 rad
150°=5π/6 rad
150.5°=301π/360 rad
151°=151π/180 rad
151.5°=101π/120 rad
152°=38π/45 rad
152.5°=61π/72 rad
153°=17π/20 rad
153.5°=307π/360 rad
154°=77π/90 rad
154.5°=103π/120 rad
155°=31π/36 rad
155.5°=311π/360 rad
156°=13π/15 rad
156.5°=313π/360 rad
157°=157π/180 rad
157.5°=7π/8 rad
158°=79π/90 rad
158.5°=317π/360 rad
159°=53π/60 rad
159.5°=319π/360 rad
160°=8π/9 rad
160.5°=107π/120 rad
161°=161π/180 rad
161.5°=323π/360 rad
162°=9π/10 rad
162.5°=65π/72 rad
163°=163π/180 rad
163.5°=109π/120 rad
164°=41π/45 rad
164.5°=329π/360 rad
165°=11π/12 rad
165.5°=331π/360 rad
166°=83π/90 rad
166.5°=37π/40 rad
167°=167π/180 rad
167.5°=67π/72 rad
168°=14π/15 rad
168.5°=337π/360 rad
169°=169π/180 rad
169.5°=113π/120 rad
170°=17π/18 rad
170.5°=341π/360 rad
171°=19π/20 rad
171.5°=343π/360 rad
172°=43π/45 rad
172.5°=23π/24 rad
173°=173π/180 rad
173.5°=347π/360 rad
174°=29π/30 rad
174.5°=349π/360 rad
175°=35π/36 rad
175.5°=39π/40 rad
176°=44π/45 rad
176.5°=353π/360 rad
177°=59π/60 rad
177.5°=71π/72 rad
178°=89π/90 rad
178.5°=119π/120 rad
179°=179π/180 rad
179.5°=359π/360 rad
Graus Radianos
180°=π/1 rad
180.5°=361π/360 rad
181°=181π/180 rad
181.5°=121π/120 rad
182°=91π/90 rad
182.5°=73π/72 rad
183°=61π/60 rad
183.5°=367π/360 rad
184°=46π/45 rad
184.5°=41π/40 rad
185°=37π/36 rad
185.5°=371π/360 rad
186°=31π/30 rad
186.5°=373π/360 rad
187°=187π/180 rad
187.5°=25π/24 rad
188°=47π/45 rad
188.5°=377π/360 rad
189°=21π/20 rad
189.5°=379π/360 rad
190°=19π/18 rad
190.5°=127π/120 rad
191°=191π/180 rad
191.5°=383π/360 rad
192°=16π/15 rad
192.5°=77π/72 rad
193°=193π/180 rad
193.5°=43π/40 rad
194°=97π/90 rad
194.5°=389π/360 rad
195°=13π/12 rad
195.5°=391π/360 rad
196°=49π/45 rad
196.5°=131π/120 rad
197°=197π/180 rad
197.5°=79π/72 rad
198°=11π/10 rad
198.5°=397π/360 rad
199°=199π/180 rad
199.5°=133π/120 rad
200°=10π/9 rad
200.5°=401π/360 rad
201°=67π/60 rad
201.5°=403π/360 rad
202°=101π/90 rad
202.5°=9π/8 rad
203°=203π/180 rad
203.5°=407π/360 rad
204°=17π/15 rad
204.5°=409π/360 rad
205°=41π/36 rad
205.5°=137π/120 rad
206°=103π/90 rad
206.5°=413π/360 rad
207°=23π/20 rad
207.5°=83π/72 rad
208°=52π/45 rad
208.5°=139π/120 rad
209°=209π/180 rad
209.5°=419π/360 rad
210°=7π/6 rad
210.5°=421π/360 rad
211°=211π/180 rad
211.5°=47π/40 rad
212°=53π/45 rad
212.5°=85π/72 rad
213°=71π/60 rad
213.5°=427π/360 rad
214°=107π/90 rad
214.5°=143π/120 rad
215°=43π/36 rad
215.5°=431π/360 rad
216°=6π/5 rad
216.5°=433π/360 rad
217°=217π/180 rad
217.5°=29π/24 rad
218°=109π/90 rad
218.5°=437π/360 rad
219°=73π/60 rad
219.5°=439π/360 rad
220°=11π/9 rad
220.5°=49π/40 rad
221°=221π/180 rad
221.5°=443π/360 rad
222°=37π/30 rad
222.5°=89π/72 rad
223°=223π/180 rad
223.5°=149π/120 rad
224°=56π/45 rad
224.5°=449π/360 rad
225°=5π/4 rad
225.5°=451π/360 rad
226°=113π/90 rad
226.5°=151π/120 rad
227°=227π/180 rad
227.5°=91π/72 rad
228°=19π/15 rad
228.5°=457π/360 rad
229°=229π/180 rad
229.5°=51π/40 rad
230°=23π/18 rad
230.5°=461π/360 rad
231°=77π/60 rad
231.5°=463π/360 rad
232°=58π/45 rad
232.5°=31π/24 rad
233°=233π/180 rad
233.5°=467π/360 rad
234°=13π/10 rad
234.5°=469π/360 rad
235°=47π/36 rad
235.5°=157π/120 rad
236°=59π/45 rad
236.5°=473π/360 rad
237°=79π/60 rad
237.5°=95π/72 rad
238°=119π/90 rad
238.5°=53π/40 rad
239°=239π/180 rad
239.5°=479π/360 rad
240°=4π/3 rad
240.5°=481π/360 rad
241°=241π/180 rad
241.5°=161π/120 rad
242°=121π/90 rad
242.5°=97π/72 rad
243°=27π/20 rad
243.5°=487π/360 rad
244°=61π/45 rad
244.5°=163π/120 rad
245°=49π/36 rad
245.5°=491π/360 rad
246°=41π/30 rad
246.5°=493π/360 rad
247°=247π/180 rad
247.5°=11π/8 rad
248°=62π/45 rad
248.5°=497π/360 rad
249°=83π/60 rad
249.5°=499π/360 rad
250°=25π/18 rad
250.5°=167π/120 rad
251°=251π/180 rad
251.5°=503π/360 rad
252°=7π/5 rad
252.5°=101π/72 rad
253°=253π/180 rad
253.5°=169π/120 rad
254°=127π/90 rad
254.5°=509π/360 rad
255°=17π/12 rad
255.5°=511π/360 rad
256°=64π/45 rad
256.5°=57π/40 rad
257°=257π/180 rad
257.5°=103π/72 rad
258°=43π/30 rad
258.5°=517π/360 rad
259°=259π/180 rad
259.5°=173π/120 rad
260°=13π/9 rad
260.5°=521π/360 rad
261°=29π/20 rad
261.5°=523π/360 rad
262°=131π/90 rad
262.5°=35π/24 rad
263°=263π/180 rad
263.5°=527π/360 rad
264°=22π/15 rad
264.5°=529π/360 rad
265°=53π/36 rad
265.5°=59π/40 rad
266°=133π/90 rad
266.5°=533π/360 rad
267°=89π/60 rad
267.5°=107π/72 rad
268°=67π/45 rad
268.5°=179π/120 rad
269°=269π/180 rad
269.5°=539π/360 rad
Graus Radianos
270°=3π/2 rad
270.5°=541π/360 rad
271°=271π/180 rad
271.5°=181π/120 rad
272°=68π/45 rad
272.5°=109π/72 rad
273°=91π/60 rad
273.5°=547π/360 rad
274°=137π/90 rad
274.5°=61π/40 rad
275°=55π/36 rad
275.5°=551π/360 rad
276°=23π/15 rad
276.5°=553π/360 rad
277°=277π/180 rad
277.5°=37π/24 rad
278°=139π/90 rad
278.5°=557π/360 rad
279°=31π/20 rad
279.5°=559π/360 rad
280°=14π/9 rad
280.5°=187π/120 rad
281°=281π/180 rad
281.5°=563π/360 rad
282°=47π/30 rad
282.5°=113π/72 rad
283°=283π/180 rad
283.5°=63π/40 rad
284°=71π/45 rad
284.5°=569π/360 rad
285°=19π/12 rad
285.5°=571π/360 rad
286°=143π/90 rad
286.5°=191π/120 rad
287°=287π/180 rad
287.5°=115π/72 rad
288°=8π/5 rad
288.5°=577π/360 rad
289°=289π/180 rad
289.5°=193π/120 rad
290°=29π/18 rad
290.5°=581π/360 rad
291°=97π/60 rad
291.5°=583π/360 rad
292°=73π/45 rad
292.5°=13π/8 rad
293°=293π/180 rad
293.5°=587π/360 rad
294°=49π/30 rad
294.5°=589π/360 rad
295°=59π/36 rad
295.5°=197π/120 rad
296°=74π/45 rad
296.5°=593π/360 rad
297°=33π/20 rad
297.5°=119π/72 rad
298°=149π/90 rad
298.5°=199π/120 rad
299°=299π/180 rad
299.5°=599π/360 rad
300°=5π/3 rad
300.5°=601π/360 rad
301°=301π/180 rad
301.5°=67π/40 rad
302°=151π/90 rad
302.5°=121π/72 rad
303°=101π/60 rad
303.5°=607π/360 rad
304°=76π/45 rad
304.5°=203π/120 rad
305°=61π/36 rad
305.5°=611π/360 rad
306°=17π/10 rad
306.5°=613π/360 rad
307°=307π/180 rad
307.5°=41π/24 rad
308°=77π/45 rad
308.5°=617π/360 rad
309°=103π/60 rad
309.5°=619π/360 rad
310°=31π/18 rad
310.5°=69π/40 rad
311°=311π/180 rad
311.5°=623π/360 rad
312°=26π/15 rad
312.5°=125π/72 rad
313°=313π/180 rad
313.5°=209π/120 rad
314°=157π/90 rad
314.5°=629π/360 rad
315°=7π/4 rad
315.5°=631π/360 rad
316°=79π/45 rad
316.5°=211π/120 rad
317°=317π/180 rad
317.5°=127π/72 rad
318°=53π/30 rad
318.5°=637π/360 rad
319°=319π/180 rad
319.5°=71π/40 rad
320°=16π/9 rad
320.5°=641π/360 rad
321°=107π/60 rad
321.5°=643π/360 rad
322°=161π/90 rad
322.5°=43π/24 rad
323°=323π/180 rad
323.5°=647π/360 rad
324°=9π/5 rad
324.5°=649π/360 rad
325°=65π/36 rad
325.5°=217π/120 rad
326°=163π/90 rad
326.5°=653π/360 rad
327°=109π/60 rad
327.5°=131π/72 rad
328°=82π/45 rad
328.5°=73π/40 rad
329°=329π/180 rad
329.5°=659π/360 rad
330°=11π/6 rad
330.5°=661π/360 rad
331°=331π/180 rad
331.5°=221π/120 rad
332°=83π/45 rad
332.5°=133π/72 rad
333°=37π/20 rad
333.5°=667π/360 rad
334°=167π/90 rad
334.5°=223π/120 rad
335°=67π/36 rad
335.5°=671π/360 rad
336°=28π/15 rad
336.5°=673π/360 rad
337°=337π/180 rad
337.5°=15π/8 rad
338°=169π/90 rad
338.5°=677π/360 rad
339°=113π/60 rad
339.5°=679π/360 rad
340°=17π/9 rad
340.5°=227π/120 rad
341°=341π/180 rad
341.5°=683π/360 rad
342°=19π/10 rad
342.5°=137π/72 rad
343°=343π/180 rad
343.5°=229π/120 rad
344°=86π/45 rad
344.5°=689π/360 rad
345°=23π/12 rad
345.5°=691π/360 rad
346°=173π/90 rad
346.5°=77π/40 rad
347°=347π/180 rad
347.5°=139π/72 rad
348°=29π/15 rad
348.5°=697π/360 rad
349°=349π/180 rad
349.5°=233π/120 rad
350°=35π/18 rad
350.5°=701π/360 rad
351°=39π/20 rad
351.5°=703π/360 rad
352°=88π/45 rad
352.5°=47π/24 rad
353°=353π/180 rad
353.5°=707π/360 rad
354°=59π/30 rad
354.5°=709π/360 rad
355°=71π/36 rad
355.5°=79π/40 rad
356°=89π/45 rad
356.5°=713π/360 rad
357°=119π/60 rad
357.5°=143π/72 rad
358°=179π/90 rad
358.5°=239π/120 rad
359°=359π/180 rad
360°=2π rad

Aviso de responsabilidade:

Nós nos esforçamos ao máximo para assegurar que nossas calculadoras e conversores sejam tão precisos quanto possível, porém não podemos garantir isso. Antes de usar qualquer uma de nossas ferramentas, qualquer informação ou dados, por favor verifique sua exatidão em outras fontes.