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Find the area of the figure. Express the answer in terms of (pi) and then round to the nearest tenth.

Find the area of the figure. Express the answer in terms of (pi) and then round to-example-1

1 Answer

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The figure consists of a square and 4 semicircles.

From the information given,

length of each side of the square, s = 8

Area of square = s^2

Area of square = 8^2 = 64

diameter of semicircle = 8

radius = diameter/2 = 8/2

radius = 4

Area of semicircle = 1/2 x π x radius^2

Area of each semicircle = 1/2 x π x 4^2 = 8π

Area of 4 semicircles = 4 x 8π = 32π

Area of figure = 64 + 32π

Substituting π = 3.14,

Area of figure = 64 + 32 x 3.14 = 64 + 100.48

Area of figure = 164.5

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