Question

escreva em radianos a) 30° b) 15° c) 120° d)210° e) 270° f) 300° g) 20° h) 150°

Answer 1

a) 30º = π/6

b) 15º = π/12

c) 120º = π/3

d) 210º = 21π/18= 7π/6

e) 270º = 3π/2

f) 300º = 15π/9

g) 20º = π/9

h) 150º =5π/6

Answer 2

a) 30º
π = 180° ⇒ π/x = 180/30 ⇒ 30π = 180x ⇒ x = π/6 rad

b)  15°
π = 180° ⇒ π/x = 180/15 ⇒ 15π = 180x ⇒ x = π/12 rad

c) 120°
π = 180° ⇒ π/x = 180/120 ⇒ 120π = 180x ⇒ x = 2π/3 rad

d) 210°
π = 180° ⇒ π/x = 180/210 ⇒ 210π = 180x ⇒ x = 7π/6 rad

e) 270°
π = 180° ⇒ π/x = 180/270 ⇒ 270π = 180x ⇒ x = 3π/2 rad

f) 300°
π = 180° ⇒ π/x = 180/300 ⇒ 300π = 180x ⇒ x = 5π/3 rad

g) 20°
π = 180° ⇒ π/x = 180/20 ⇒ 20π = 180x ⇒ x = π/9 rad

h) 150°
π = 180° ⇒ π/x = 180/150 ⇒ 150π = 180x ⇒ x = 5π/6 rad