Question

1 transforme os angulos de graus para radianos:
a) 30°=

b) 130°=

c) 60°=

d) 90°=

e) 240°= ​

Answer 1

Resposta:

A) $\frac{\pi}{6}$  B) $\frac{13}{18}\pi$  C) $\frac{\pi}{3}$  D) $\frac{\pi}{2}$  E) $\frac{4}{3}\pi$

Explicação passo a passo:

Para resolver, basta lembrar que $\pi=180\º$ e aplicar a regra de 3. Veja:

Exercício A:

$\frac{\pi}{x}=\frac{180\º}{30\º}\\180\º*x=30\º*\pi\\x=\frac{30}{180}\pi\\x=\frac{\pi}{6}$

Exercício B:

$\frac{\pi}{x}=\frac{180\º}{130\º}\\180\º*x=130\º*\pi\\x=\frac{130}{180}\pi\\x=\frac{13}{18}\pi$

Exercício C:

$\frac{\pi}{x}=\frac{180\º}{60\º}\\180\º*x=60\º*\pi\\x=\frac{60}{180}\pi\\x=\frac{\pi}{3}$

Exercício D:

$\frac{\pi}{x}=\frac{180\º}{90\º}\\180\º*x=90\º*\pi\\x=\frac{90}{180}\pi\\x=\frac{\pi}{2}$

Exercício E:

$\frac{\pi}{x}=\frac{180\º}{240\º}\\180\º*x=240\º*\pi\\x=\frac{240}{180}\pi\\x=\frac{4}{3}\pi$