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Answer:

818.4 in²

Explanation:

shaded region = area of sector - area of triangle

area of sector = area of circle × fraction of circle

A = π × 27.8² ×
(150)/(360) ≈ 1011.65 in²

area of triangle = 0.5 × 27.8 × 27.8 × sin150° ≈ 193.21 in²

shaded region = 1011.65 - 193.21 ≈ 818.4 in²

User Kokesh
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