Question

Determine, em radiano, a medida dos arcos dada em grau.
a) 270°
b) 60°
c) 150°
d) 240°

Answer 1

Explicação passo-a-passo:

a) 180x=270

180x=270 x=270/180π

180x=270 x=270/180π x=3π/2

180x=270 x=270/180π x=3π/2b) 180x=60π

180x=270 x=270/180π x=3π/2b) 180x=60πx=60π/180

180x=270 x=270/180π x=3π/2b) 180x=60πx=60π/180x=3π/9

180x=270 x=270/180π x=3π/2b) 180x=60πx=60π/180x=3π/9c)180x=150π

180x=270 x=270/180π x=3π/2b) 180x=60πx=60π/180x=3π/9c)180x=150πx=150π/180

180x=270 x=270/180π x=3π/2b) 180x=60πx=60π/180x=3π/9c)180x=150πx=150π/180x=5π/6

180x=270 x=270/180π x=3π/2b) 180x=60πx=60π/180x=3π/9c)180x=150πx=150π/180x=5π/6d)180x=240π

180x=270 x=270/180π x=3π/2b) 180x=60πx=60π/180x=3π/9c)180x=150πx=150π/180x=5π/6d)180x=240πx=240π/180

180x=270 x=270/180π x=3π/2b) 180x=60πx=60π/180x=3π/9c)180x=150πx=150π/180x=5π/6d)180x=240πx=240π/180x=4π/3

Answer 2

Resposta:

a)  180 ---              

    270 ---- x    

    180x = 270  

    x = 270/ 180    : 90

    x = 3/2  

b)  180 ---              

    60 ---- x    

    180x = 60  

    x = 60/ 180  : 60

    x = /3    

c)   180 ---              

    150 ---- x    

    180x = 150    

    x = 150/ 180   : 30

    x = 5/6    

d)  180 ---              

    240 --- x    

    180x = 240    

    x = 240/ 180  : 60

    x = 4/3

Explicação passo-a-passo: