Question

transforme de graus para radiano

a) 30°

b)80°

c)100°

d)300°

e)270​

Answer 1

π = 180°

a)

π - 180°

x - 30°

180x = 30π

x = 30π/180

x = 1/6π

b)

270º

grau  radianos

180       π

270        x

180 (:90) = π

270  (:90)   x

2 = π

3     x

2x = 3π

x = 3π radianos

      2

c) πrad-------180°

 x----------100°

180x=100

x=100/180 → 50/90 → 25/45 → 5/9

x=5πrad/9 (simplificado)

d) π ⇒ 180º

y ⇒ 300º

180y = 300π

y = 300π/180 = 30π/18 = 10π/6 rad

e) 270º ⇒ 270π/180 = 27π/18 = 9π/6 rad

Answer 2

Adote π = 180°

a) 30° = π/6

b)80° = 80π/180 => 4π/9

c)100° = 100π/180 => 5π/9

d)300° = 300π/180 => 5π/3

e)270 = 270π/180 => 3π/2

att Colosso