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A planter is shaped like a regular hexagon. The side lengths are 2 meters and the apothem is 1.72 m. What is the area of the hexagonal planter? 20.64 m2 3.44 m2 1.72 m2 10.32 m2​

Sagot :

The area of the hexagonal planter is 10.32 m²

Regular hexagon

Regular hexagon are polygon with 6 sides and are equiangular. This means the angles are the same.

area of hexagon = 1 / 2 × apothem × perimeter of hexagon

apothem = 1.72 m

side length = 2 m

area of hexagon = 1 / 2 ×  1.72 × 6(2)

area of hexagon = 1 / 2 ×  1.72 × 12

area of hexagon = 20.64 / 2

area of hexagon = 10.32

area of hexagon = 10.32 m²

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