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please help me I don't understand this at all
this is due soon. i will give many points
please show work too ​

Please Help Me I Dont Understand This At Allthis Is Due Soon I Will Give Many Points Please Show Work Too class=

Sagot :

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