Question

Transforme o ângulo de graus em radiano:

a)180°
b)45°
c)150°
d)270°
e)240°
f)135°
g)210°

Answer 1

a) 180° = 1 Pi rad

b) 45° 180 = 1Pi
45 = x
180x = 45 Pi → x= 45Pi/ 180→ 5Pi/20 → Pi/ 4

c) 150° 180 = 1Pi
150 = x
180x= 150Pi → x= 5Pi/ 6

d) 270° 180= 1Pi
270= x
180x = 270Pi → x= 3Pi/ 2

e) 240° 180° = 1Pi
240 = x
180x = 240Pi → x= 4Pi/ 3

f) 135° 180° = 1Pi
135 = x
180x = 135Pi → 24Pi / 27

g) 210° 180 = Pi
210 = x
180x = 210 Pi → 7Pi/ 6


h) 225° 180 = 1Pi
225 = x
180x = 225Pi → 5Pi/4