Question

If error in measuring diameter of a circle is $4\%$, the percentage error in circumference of the circle would be

Answer 1

Answer: 4

Circumference, $s=2\pi r=2\pi \frac{D}{2}=\pi D$
$\therefore \frac{\Delta s}{s}\times 100=\frac{\Delta D}{D}\times 100=4\%$