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A square sheet of maximum area is cut ou...

A square sheet of maximum area is cut out from a circular piece of card board of radius 14 cm. Find the area of the remaining card board (in `cm^(2)`).

A

224

B

225

C

226

D

228

Text Solution

Verified by Experts

The correct Answer is:
A
The diagonal of the square of maximum area = the Diameter of the circle
`therefore" Diagonal"=28 cm`
`therefore "Area of the square"=(d^(2))/(2)`
`=(28xx28)/(2)=392cm^(2)`
Area of the circle
`=pir^(2)=(22)/(7)xx14xx14`
`=616cm^(2)`
`therefore"Remaining area of the card board"`
`=616-392=224cm^(2)`
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