Question

converta:

graus | radianos
72° | __
__ | ⅔ π
600° | __
__ | 3 π rad

(foto p entender melhor)​

Answer 1

Resposta:

Graus × π/180 = Radianos

72 × π/180

2 × π/5

2π/5 rad

x × π/180 = 2/3 π rad

πx/180 = 2π/3

2π(180) = 3(πx)

360π = 3xπ

120π = πx

120 = x

x = 120°

600 × π/180

10 × π/3

10π/3 rad

x × π/180 = 3π rad

xπ/180 = 3π

x/180 = 3

x = 180 × 3

x = 540°

Respostas :

2/5 π rad

120°

10/3 π rad

540°

Espero Ter Ajudado !!

Answer 2

Resposta:

a) $\frac{2\pi }{5}$

b) 120°

c) 540°

Explicação passo-a-passo:

1° = $\frac{\pi}{180}$

72° = 72$\frac{\pi }{180}$ = $\frac{2\pi }{5}$

2/3$\pi$ = (180 * 2/3$\pi$) / $\pi$ = 120°

$3\pi$ = 3 x 180 = 540°