Question

Expresse em Radianos:
a) 30° b) 15° c) 120° d) 210° e) 270° h)150° i) 315°

Answer 1

a)  30°=X
    180°=PI

Multiplique cruzado:

30pi=180x

$\frac{30 \pi }{180}~\to \frac{30:30}{180:30}~\to \boxed{\frac{ \pi }{6}rd}$
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b)  15°=x
    180°=pi

15pi=180x

$\frac{15 \pi }{180}~\to \frac{15:15}{180:15}~\to\boxed{ \frac{ \pi }{12}rd}$
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c)    120°=x
       180°=pi

120pi=180x

$\frac{120 \pi }{180}~\to \frac{120:60}{180:60}~\to \boxed{\frac{2 \pi }{3}rd}$
_________________________

d) 210°=x
    180°=pi

210pi=180x

$\frac{210 \pi }{180}~\to \frac{210:30}{180:30}~\to \boxed{\frac{7 \pi }{6}rd}$
___________________________

e)  270°=x
     180=pi

270pi=180x

$\frac{270 \pi }{180}~\to \frac{270:90}{180:90}~\to \boxed{\frac{3 \pi }{2}rd}$
______________________________

h) 150°=x
180°=pi

150pi=180x

$\frac{150 \pi }{180}~\to \frac{150:30}{180:30}~\to \boxed{\frac{5 \pi }{6}rd}$
_______________________________

i) 315°=x
   180°=pi

315pi=180x

$\frac{315}{180}~\to \frac{315:45}{180:45}~\to \boxed{\frac{7 \pi }{4}rd}$


Espero ter ajudado e tenha ótimos estudos ;)

Answer 2

Resposta:Para transformar de graus para radianos, basta multiplicar por pi e dividir por 180, simplificar se for possível.

a) 30° = 30π/180 = π/6

b) 15° = 15π/180 = π/12

c) 120° = 120/180 = 2π/3

d) 210° = 210π/180 = 7π/6

e) 20° = 20π/180 = π/9

f) 150° = 150π/180 = 5π/6