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)]
From the fig.-
Length of card board = 14 cm
Breadth of card board = 7 cm
Total Area of Card Board = 14 × 7 = 98 sq. cm
and, Diameter of each circle = 7 cm
Area of each Circle = π× r× r = (22/7) × (7/2)2 = (77/2) sq. cm
Area of Remaining Card Board
= Total Area of Card Board-2× Area of each circle
= 98-2× (77/2)
= 98-77
= 21 sq. cm
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