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If radius of a circle increases from 5 t...

If radius of a circle increases from 5 to 5.1 , find the increase in area.

Text Solution

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`r_1=5`
`r_2=5.1`
`/_ =0.1`
A=`pir^2`
`dA=d(pir^2)=pi*2r*dr`
`dA=pi*2*5*0.1`
`dA=pi`
New area=`A+/_A=pir^2+dA`
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