ashleyc313 ashleyc313

26-01-2017
Mathematics

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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

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LammettHash LammettHash

26-01-2017

The area of a circle in terms of the circle's radius [tex]r[/tex] is

[tex]A=\pi r^2[/tex]

Differentiating both sides with respect to [tex]t[/tex], you get

[tex]\dfrac{\mathrm dA}{\mathrm dt}=2\pi r\dfrac{\mathrm dr}{\mathrm dt}[/tex]

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