Question

#2

Answer 1

Answer:

a) 16.5 inches

b) 1.64 radian

c) 22.3feet

Step-by-step explanation:

$s = rθ \:$

a) r = 3in

θ = 5.5rad

s = 3 × 5.5

= 16.5in

b) s = 6.4in

r = 3.9in

6.4 = 3.9 × θ

θ = 1.64rad (3sf)

$arc= \frac{θ}{360} \times 2 \: \pi \: r$

c) θ = 126°

arc = 49ft

49 = (126÷360)×2×3.142×r

r = 49 ÷ 2.1994

= 22.3ft (3sf)

(Correct me if i am wrong)