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Question

From a square metal sheet of side 28cm, a circular sheet is cut off. Find the radius of the largest possible circular sheet that can be cut. Also find the area of the remaining sheet.

A
14cm,148cm2.
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B
14cm,168cm2.
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C
12cm,168cm2.
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D
14cm,164cm2.
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Solution

The correct option is C 14cm,168cm2.
Area of square sheet = (28)2=784cm2

The largest circle of diameter equals to the side of square can be cut off from the square sheet.

Radius of circular sheet = 282=14cm

Area of remaining sheet = 784πr2=784227×14×14
= 784616 = 168cm2

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