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Question
Find the area of the biggest circle that can be cut from a rectangular piece 44cm by 28cm. also, find the area of the paper left after cutting out the circle.
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Solution
The area of a rectangle with length l and breadth b = A = l x b
The area of a rectangle with length 44cm and breadth 28cm
= A
= 44 x 28
= 1232cm2
The largest circle that can be cut from a rectangle of length 44cm and breadth 28cm can have diameter 28cm or radius `(28)/(2)` = 14cm
The Area of a Circle with radius r = πr2
The Area of a Circle with radius 14
= π(14)2
= 616cm2
Remaining area
= 1232cm2 - 616cm2
= 616cm2.
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