Question

Olá pessoal me ajudem pra final de matemática: A pergunta É
Transforme em radianos as medidas de arcos em graus.

A) 45° B) 150° C) 180°

Answer 1

A) 45° = (45π/180) (:45/45) = π/4
B) 150°=(150π/180) (:30/30) = 5π/6
C) 180°= (180π/180) = π

Answer 2

Olá!!!

Resolução!!!

Regra de três

a)

Graus ————— Rad
180 —————— π
45 ——————— x

180/45 = π/x

180 • x = 45 • π
180x = 45π
x = 45π/180 : 3
x = 15π/60 : 3
x = 5π/20 : 5
x = π/4

45° = π/4 rad

b)

Graus ————— Rad
180 ——————— π
150 ——————— x

180/150 = π/x

180 • x = 150 • π
180x = 150π
x = 150π/180 : 2
x = 75π/90 : 3
x = 25π/30 : 5
x = 5π/6

150° = 5π/6 rad

c)

Graus ————— Rad
180 ——————— π
180 ——————— x

180/180 = π/x

180 • x = 180 • π
180x = 180π
x = 180π/180
x = π

180° = 1π rad

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Espero ter ajudado!!