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Question

Four equal circles are described about the four corners of a square so that each touches two of the others, as shown in the figure. Find the area of the shaded region, if each side of the square measures 14 cm.

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Solution


area of square=14 x14=196
area of 4 sectors=4(90/360)(22/7)(7x7)
=4(1/4)x(22x7)
=154
area of shaded part =196-154
=42m2


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