If the error in measuring the diameter of a c | vedclass

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(C) The circumference $C$ of a circle is given by the formula $C = \pi D$,where $D$ is the diameter.Taking the relative error,we have $\frac{\Delta C}

Vedclass · Accepted Answer

$4$

Vedclass · Answer

(C) The circumference $C$ of a circle is given by the formula $C = \pi D$,where $D$ is the diameter.Taking the relative error,we have $\frac{\Delta C}{C} = \frac{\Delta D}{D}$.Given that the percentage error in the diameter is $\frac{\Delta D}{D} 	imes 100\% = 4\%$.Therefore,the percentage error in the circumference is $\frac{\Delta C}{C} 	imes 100\% = \frac{\Delta D}{D} 	imes 100\% = 4\%$.Thus,the error in the circumference is $4\%$.

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

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