25. Two circular pieces of equal radii and maximum area, touching each
other are cut out from a rectangular cardboard of dimensions
two radi
14 cm x7 cm. Find the area of the remaining cardboard.
of
[CBSE 2013
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Answer:
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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