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Find the area of the shaded region

Find the area of the shaded region-example-1

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Answer:

8.7

Explanation:

a = side of a regular hexagon inscribed in a circle = radius of the circle

Area of a hexagon = (3√3 / 2)a² = (3√3 / 2)4² = 41.57

Acircle = πr² = π4² = 50.27

Area of shaded region = Acircle - Ahexagon = 50.27 - 41.57 = 8.7

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