Question

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The error in the measurement of diameter of a circular disk is 1%. What is the percentage error in the measurement of its area?

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Answer 1

Answer:

Error in radius measurement

r

Δr

×100=1%

Area of the circle is given by A=πr

2

So, error in area

A

ΔA

×100=2×

r

Δr

×100=2%

Answer 2

Let the radius of the circle , R .

Given the error in the measurement of the radius of the circle = 1%

= 0.02

= 2% .

Thus , the error in measurement of its area is 2%.