Question

Transforme os ângulos abaixo para radianos:
a) 120° b) 270° c)45° d) 160°

Answer 1

a)2π/3
b)3π/4
c)π/4
d)8π/9
Eis as respostas usando regra de tres e simplificação

Answer 2

Resposta:

Explicação passo-a-passo:

a) 120°

120 = x

180 = π rad

12/18 (:6)/(:6) = x/π

2/3 = x/π

2π = 3x

2π/3 = x

x = 2π rad/3

b) 270°

180 = π rad

270 = x

18/27 (:9)/(:9) = π rad/x

2/3 = π rad/x

2x = 3 π rad

x = 3π rad/2

c)45°

π rad = 180

x = 45

π/x = 180/45

π/x = 4

π = 4x

π/4 = x

x = π rad/4

d) 160°

180 = π

160 = x

18/16 (:2)/(:2) = π/x

9/8 = π/x

9x = 8π

x = 8π rad/9