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Question

The diameter of a circle found by measurement 5.2cms with a maximum error 0.05cms Then the maximum error in its area is?

A
4.1 sq. cms
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B
0.041 sq. cms
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C
0.41 sq. cms
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D
0.5 sq. cms
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Solution

The correct option is B 0.41 sq. cms
The Actual diameter =5.20.05=5.15 cm
So, Actual Radius =5.152=2.575 cm
Actual Area of circle =πr2=27×(2.575)2=20.839 cm2
The calculated area of circle =πr2=227(2.6)2=21.245 cm2
Thus, Maximum error in area =21.24520.839=0.41 cm2
So, C is correct option.

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