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Four Equal Circles, Each of Radius 5 Cm, Touch Each Other as Shown in the Figure. Find the Area Included Between Them. (Take π= 3.14) - Mathematics

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Question

Four equal circles, each of radius 5 cm, touch each other as shown in the figure. Find the area included between them. (Take π= 3.14)

Sum
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Solution

Required area = Area of square ABCD - Area of 4 quadrants

Required area = ( 10 cm x 10 cm ) - `1/4` πr2

Required area = 100 - `= 1/4xx22/7xx5xx5`

Required area = 100 - 78.57 cm2

Required area  = 21.43 cm2 

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