ashleyc313 ashleyc313

26-01-2017
Mathematics

Answered

If A is the area of a circle with radius r and the circle expands as time passes, find dA/dt in terms of dx/dt

Verified Answer :

LammettHash LammettHash

26-01-2017

The area of a circle in terms of the circle's radius \(r\) is

\(A=\pi r^2\)

Differentiating both sides with respect to \(t\), you get

\(\dfrac{\mathrm dA}{\mathrm dt}=2\pi r\dfrac{\mathrm dr}{\mathrm dt}\)

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