Answer:
a) θ = [tex]\frac{4}{3}\pi[/tex] b) r = 31.27 inch
Step-by-step explanation:
(a)
area of sector: [tex]\frac{1}{2}[/tex] * r² * θ
384 = [tex]\frac{1}{2}[/tex] * r² * θ
384 = [tex]\frac{1}{2}[/tex] * (24)² * θ
θ = 384/288
θ = [tex]\frac{4}{3}\pi[/tex]
(b)
384 = [tex]\frac{1}{2}[/tex] * r² * [tex]\frac{\pi }{4}[/tex]
r² = 384 * 2 * [tex]\frac{4}{\pi }[/tex]
r² = 977.848
r = √977.848
r = 31.27 inch
