Question

4) Determine em radianos, a medida dos arcos de:
a) 30°
c) 120
b) 60
d) 150
e) 210
1) 240°​

Answer 1

Resposta:

a) 1/6π

b) 2/3π

c) 1/3π

d) 5/6π

e) 7/6π

1) 4/3π

Explicação passo-a-passo:

a)180° - π rad

  30°  -   x

180x= 30π rad

x= 30/180π

x=1/6π

b)180° - π rad

  120°  -   x

180x= 120π rad

x= 120/180π

x=2/3π

c)180° - π rad

  60°  -   x

180x= 60π rad

x= 60/180π

x=1/3π

d)180° - π rad

  150°  -   x

180x= 150π rad

x= 150/180π

x=5/6π

e)180° - π rad

  210°   -   x

180= 210π rad

x= 210/180π

x=7/6π

1)180° - π rad

  240°  -   x

180x= 240π rad

x= 240/180π

x=4/3π