Question

Please help me with this quick :))))))))

Answer 1

129.3 in²

Explanation:

The shaded segment is calculated as

area of sector ABC - area of triangle ABC

area of sector = area of circle × fraction of circle

A = πr² ×
`(60)/(360)`

= π × 18² ×
`(1)/(6)`

= 324π ×
`(1)/(6)` = 54π in²

area of Δ ABC =
`(1)/(2)` × 18 × 18 × sin60° ≈ 40.30 in²

Then

shaded area = 54π - 40.30 ≈ 129.3 in² ( to the nearest tenth )