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.
Dimension of the rectangular card board = 14 cm 7 cm
Since, two circular pieces of equal radii and maximum area touching each other are cut from the rectangular card board, therefore, the diameter of each of each circular piece is = 7 cm.
Radius of each circular piece = cm.
Sum of area of two circular pieces =
Area of the remaining card board
= Area of the card board - Area of two circular pieces
= 14 cm 7 cm - 77 cm2
= 98 cm2 - 77 cm2
= 21 cm2
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