Question

1. Uma volta completa num círculo equivale a 360° ou 2 π rad. Converta
os ângulos a seguir para radianos:
a) 20°
b) 150°
c) 90°
d) 120°​

Answer 1

Explicação:

regra de três

a)

360° --- 2π

20° --- x

360x = 20.2π

$x = \frac{40\pi}{360} \\ x = \frac{4\pi}{36} \\ x = \frac{\pi}{9}$

b)

360° --- 2π

150° --- x

360x = 150.2π

$x = \frac{300\pi}{360} \\ x = \frac{30\pi}{36} \\ x = \frac{5\pi}{6}$

c)

360° --- 2π

90° --- x

360x = 90.2π

$x = \frac{180\pi}{360} \\ x = \frac{\pi}{2}$

d)

360° --- 2π

120° --- x

360x = 120.2π

$x = \frac{240\pi}{360} \\ x = \frac{24\pi}{36} \\ x = \frac{4\pi}{6}$