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Bond [772]
2 years ago
10

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

Mathematics
1 answer:
vredina [299]2 years ago
6 0

Answer:

129.3 in²

Step-by-step 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 × \frac{60}{360}

   = π × 18² × \frac{1}{6}

   = 324π × \frac{1}{6} = 54π in²

area of Δ ABC = \frac{1}{2} × 18 × 18 × sin60°  ≈ 40.30 in²

Then

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

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