Question

Determine a medida, em radiano, equivalente a:a) 30 grausb) 120 grausc) 225 grausd) 300 graus

Answer 1

30/180 = 1/6pi

120/180 = 2/3pi

225/180= 5/4pi

300/180 = 5/3pi

Answer 2

a) 180 --------- $\pi$
      30 --------- x
  
180.x = 30.$\pi$
x = 30.$\pi$/180
x = $\pi$/ 6   radianos

b) 180 --------- $\pi$
    120 --------- x

180.x = 120.$\pi$
x = 120.$\pi$/180
x = 2.$\pi$/3   radianos

c) 180 ---------- $\pi$
    225 ---------- x

180.x = 225.$\pi$
x = 225.$\pi$/180
x = 5.$\pi$/4   radianos

d) 180 ---------- $\pi$
    300 ---------- x

180.x = 300.$\pi$
x = 300.$\pi$/180
x = 5.$\pi$/3   radianos