Question

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 ?​

Answer 1

Step-by-step explanation:

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