Question

MATEMÁTICA| Arcos e Ângulos

1) Transforme os ângulos abaixo como se pede:

A) 1080° em RAD.

B) 1500° em RAD.

C) 8π/5 rad. em GRAUS

D) 11π/6 rad. em GRAUS

E) 7π/3 rad. em GRAUS

(MR✔️) RESPOSTA CONFIÁVEL! ❤❤​

Answer 1

A)

${1080}^{o} \\ {1080}^{o} \times \frac{\pi}{ {180}^{o} } rad \\ \frac{1080 {}^{o} }{180 {}^{o} } \pi rad \\ \boxed{6\pi rad}$

B)

$1500 {}^{o} \\ {1500 ^{o} }^{ \div 60} \times \frac{\pi}{ {180}^{o}{ }^{ \div 60} } rad \\ 25 \times \frac{\pi}{3} rad \\ \boxed{ \frac{25\pi}{3}rad }$

C)

$\frac{8\pi}{5} rad \\ \frac{8\pi}{5} rad \times \frac{ {180}^{o} }{\pi rad} \\ \frac{8 \cancel\pi}{5} \times \frac{ {180}^{o} }{ \cancel\pi} \\ \frac{8}{ \cancel5} \times { \cancel{180}^{o} } \\ 8 \times {36}^{o} \\ \boxed{ {288}^{o} }$

D)

$\frac{11\pi}{6} rad \\ \frac{11\pi}{6} rad \times \frac{ {180}^{o} }{\pi rad} \\ \frac{11\pi}{6} \times \frac{ {180}^{o} }{\pi} \\ \frac{11}{ \cancel6} \times \cancel{{180}^{o} } \\ 11 \times {30}^{o} \\ \boxed{ {330}^{o} }$

E)

$\frac{7\pi}{3} rad \\ \frac{7\pi}{3} rad \times \frac{ {180}^{o} }{\pi rad} \\ \frac{7\pi}{3} \times \frac{ {180}^{o} }{\pi} \\ \frac{7}{ \cancel3} \times \cancel{ {180}^{o} } \\ 7 \times {60}^{o} \\ \boxed{ {420}^{o} }$

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