Question

Please help me I don't understand this at all

this is due soon. i will give many points
please show work too ​

Answer 1

a) θ =
`(4)/(3)\pi` b) r = 31.27 inch

Explanation:

(a)

area of sector:
`(1)/(2)` * r² * θ

384 =
`(1)/(2)` * r² * θ

384 =
`(1)/(2)` * (24)² * θ

θ = 384/288

θ =
`(4)/(3)\pi`

(b)

384 =
`(1)/(2)` * r² *
`(\pi )/(4)`

r² = 384 * 2 *
`(4)/(\pi )`

r² = 977.848

r = √977.848

r = 31.27 inch