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3 years ago

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

Mathematics

1 answer:

vredina [299]3 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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