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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.

Asked by Topperlearning User 4th June 2014, 1:23 PM
Answered by Expert
Answer:

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

Answered by Expert 4th June 2014, 3:23 PM
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