Question

Calcule em graus as medidas dos arcos (π= 3,14 (Pi)​

Answer 1

Resposta:

a) 30°

b) 45°

c) 60°

d) 90°

e) 120°

f) 150°

Explicação passo-a-passo:

Sabendo que π rad = 180°, podemos fazer regras de 3 para encontrar o valor dos arcos em graus.

a)

π _____ 180°

π/6 ___ x

x × π = 180 × π/6

π cancela com o π do outro lado:

x = 180/6

x = 30°

b)

π _____ 180°

π/4 _____ y

y π = π/4 × 180°

y = 180/4

y = 45°

c)

π ______ 180°

π/3 _____ z

z π = 180 × π/3

z = 180/3

z = 60°

d)

π ____ 180°

π/2 ____ a

a π = 180 × π/2

a = 180/2

a = 90°

e)

π ____ 180°

2π/3____ b

b π = 2π/3 × 180

b = 2/3 × 180

b = 360/3

b = 120°

f)

π ____ 180°

5π/6 __ g

g π = 180 × 5π/6

g = 180 × 5/6

g = 30 × 5

g = 150°