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Question

The figure consists of 3 semicircles and an equilateral triangle of side 7 cm. Find the area of the entire figure.


A

252.19 cm2

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B

253.25 cm2

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C

134.75 cm2

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D

78.94 cm2

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Solution

The correct option is D

78.94 cm2


The figure can be simplified into an equilateral triangle and 3 semi-circular figures.

The area of the equilateral triangle is = (3a2)4

=(3×72)4

The area of the semicircle = 12×π×r2 (r = a2)

=12×227×3.52

The combined area of the figure = area of the triangle + 3 x (area of the semicircle)

=(3×72)4 + 3 × 12×227×3.52

= 78.94 cm2

The combined area of the figure is 78.94 cm2


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