Two circular pieces of equal radii and maximum area, touching each other are cut out from a rectangular card board of dimensions 14 cm × 7 cm. Find the area of the remaining card board. [Use π = 22/7]
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The circles with maximum area and given condition will have diameter= 7cm
Area of circles=πr
2 +πr
2 = 7
22 ×( 2 7 ) 2 +
7 22
×( 2 7 ) 2 = 2
77 + 2
77 =77
Area of cardboard =14×7=98 (Since it is a rectangle)
Remaining area =98−77=21 sq. units
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