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Find the area of the regular polygon with the given radius or apothem.Shape is a hexagon with 4cm inside

Sagot :

Answer:

55.43cm^2

Step-by-step explanation:

Area of a hexagon given the apothem =  1/2 x perimeter x apothem

apothem = 4cm

To find the perimeter, take the following steps

4 = x√3

x = 4/√3

Multiply by 2

8√3

Since a hexagon has 6 equal sides, multiply by 6

Perimeter = 48√3

Area = (1/2) x  48√3 x 4 = 55.43cm^2

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