The measured radius of a circle is 80m with a possible error of 0.05m in its diameter.The error in the computed area will be?
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The radius of the circle is 5 and its error is 0.1
A=πr2
lnA=lnπr2
lnA=lnπ+2lnr
Taking differentials,
dAA=2drr
Area of the circle is given by,
A=π(5)2⟺A=25π
Substituting into the differentials,
dA25π=20.15
dA=125⋅(25π)
dA=π
Explanation:
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