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If A=πr2,and A and r are both functions of time t,finddAdt

Short Answer

Expert verified

dAdt=2πrdrdt

Step by step solution

01

Step 1:Given information

The given expression isA=πr2

02

Step 2:Simplification

A=πr2

03

Step 2:Simplification

A=πr2

Differentiating w.r.t t

width="160" height="41" role="math">dAdt=dAdr×drdt...(1)

width="140" height="41" role="math">dAdr=2πr...(2)

Now,from equation 1and2

width="126" height="41" role="math">dAdt=2πrdrdt

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