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CBSE Class 10 Answered

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 | 04 Jun, 2014, 01:23: PM
answered-by-expert 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 | 04 Jun, 2014, 03:23: PM

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