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If the error committed in measuring the radius of a circle be 0.01%, find the corresponding error in calculating the area.

A

0.0005

B

2.5E-5

C

0.0025

D

0.001

Text Solution

Verified by Experts

The correct Answer is:
D
`because a=pir^(2)`
`implieslogA=logpi+2logr`
`=(DeltaA)/(A)xx100=2xx(Deltar)/(r)xx100`
`=2xx0.05=0.1%`
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