Please need help Find area of shaded region. Round to the nearest tenth

1 answer:

7 0

Answer:

818.4 in²

Step-by-step explanation:

The area (A) of the shaded region is

A = area of circle - ( area of white sector + area of triangle )

= ( π × 27.8²) - (π × 27.8² × $\frac{210}{360}$ +(0.5 × 27.8 ×27.8 × sin150°)

= 2427.95 - (1416.30 + 193.21 )

= 2427.95 - 1609.51 ≈ 818.4 in²

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