The diameter of a circle is measured to be 16cm with a maxim
The diameter of a circle is measured to be 16cm, with a maximum error of measurement of 0.3cm. Use differentials to estimate the maximum error of measurement in the area. Give an estimate of the relative and percentage error of the area of the circle.
Solution
A = r2
dA/A = 2dr/r
dA/A = 2 x 0.3/16 = 0.0375
in perecent. 3.75%
