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

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

Physical World, Units and Measurements

Solution:

Circumference, $\left(s\right)=2\pi r=2\pi \frac{D}{2}=\pi D$
$\therefore \frac{ds}{s}\times100\%=\frac{dD}{D}\times100\%=4\%$