Conversor de grados a radianes en términos de pi

180° = π radianes o 3.1415926535898 radianes en forma decimal.

Convertir grados a π radianes

Ángulo en grados:

Respuesta:

180° = π radián

Solución con explicación paso a paso

Como 180° corresponde a pi, podemos derivar la siguiente fórmula para convertir de grados a π radianes:

α en radianes = α en grados × π/180
O
α rad = α° × π/180

Sustituyendo el valor del ángulo (180°), en grados, en la fórmula anterior, obtenemos:

α rad = π × 180/180 =

(π × 180÷180)/(180÷180) = π radián, al simplificar la fracción.

Nota: π rad también puede escribirse como un número real o decimal (no en términos de pi) como 1π rad = 3.1415926535898 radianes.

Consulte también nuestra tabla de grados a radianes.

Utilizando nuestro conversor de grados a radianes, encontrará el valor exacto de cualquier otro ángulo en radianes en términos de pi. La calculadora muestra explicaciones paso a paso.

Cómo convertir 180 a radianes en términos de pi (πrad) - Explicación paso a paso

Una forma de convertir el valor de un ángulo en grados a radianes es empleando la siguiente fórmula:

valor en radianes = (valor en grados × π)/180

Paso a paso

Paso 1: Sustituya el valor del ángulo, en grados, en la fórmula anterior:

valor en radianes = (180 × π)/180

Paso 2: Reorganice los términos:

valor en radianes = π × 180/180

Paso 3: Simplifique la fracción de π si fuera necesario.

Encuentre el mcd de 180 y 180 [mcd(180,180)], que en este caso es igual a 180.

Así pues, podemos simplificar la fracción de esta manera:

Divide el numerador y el numerador por el mcd (máximo común divisor) 180,obteniendo:

π × 180÷180/180÷180, lo cual es igual a π radiano, una vez simplificada o reducida la fracción.

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

Grados Radianes
=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
Grados Radianes
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
Grados Radianes
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
Grados Radianes
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

Descargo de responsabilidad:

Hacemos todo lo posible para garantizar que nuestras calculadoras y convertidores sean lo más precisos posible, pero no podemos garantizarlo. Antes de utilizar cualquiera de nuestras herramientas, cualquier información o dato, verifique su precisión en otras fuentes.