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8. The logo for a company is a regular hexagon inscribed inside a circle. The logo will
be painted on the side of the company's office building. The radius of the circle will be
8 ft. Find the area of the hexagon to the nearest whole foot.

Sagot :

musiclover10045

Divide the hexagon into 6 equal streak triangles which would have side length equal to the radius of the circle.


the area of an equal lateral triangle = sqrt(3)/4 x radius^2


the area of the hexagon would be 6 x sqrt(3)/4 x radius^2


Area = 6 x sqrt(3)/4 x 8^2 = 166.2768 square feet


rounded to the nearest whole foot = 166 square feet.

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