Question

Please help me I don't understand this at all

Answer 1

Answer:

a) θ = $\frac{4}{3}\pi$     b) r = 31.27 inch

Step-by-step explanation:

(a)

area of sector: $\frac{1}{2}$ * r² * θ

384 = $\frac{1}{2}$ * r² * θ

384 = $\frac{1}{2}$ * (24)² * θ

θ = 384/288

θ = $\frac{4}{3}\pi$

(b)

384 = $\frac{1}{2}$ * r² * $\frac{\pi }{4}$

r² = 384 * 2 * $\frac{4}{\pi }$

r² = 977.848

r = √977.848

r = 31.27 inch