Question

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

• A. $2\%$
• B. $8\%$
• C. $4\%$
• D. $1\%$

Answer 1

Answer: (C)

Circumference, $\left(s\right)=2\pi r=2\pi \frac{D}{2}=\pi D$
$\therefore \frac{ds}{s}\times 100\%=\frac{dD}{D}\times 100\%=4\%$