If error in measuring diameter of a circle is | vedclass

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Question

radius $\left( {	ext{r}} ight)\, = \,\frac{1}{2}\, 	imes \,$ diameter $\left( D ight)$

$dr\, = \,\frac{1}{2}\,\,dD\,\Rightarr

Vedclass · Accepted Answer

$4$

Vedclass · Answer

radius $\left( {	ext{r}} ight)\, = \,\frac{1}{2}\, 	imes \,$ diameter $\left( D ight)$

$dr\, = \,\frac{1}{2}\,\,dD\,\Rightarrow \,\frac{{dr}}{r}\, = \,\frac{1}{2}\,\frac{{dD}}{{\frac{1}{2}D}}\,$

$\, \Rightarrow \,\frac{{dr}}{r}\, 	imes \,100\, = \,\frac{{dD}}{D}\, 	imes \,100\, = \,4\% $

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

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