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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.
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
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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