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husky88
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Homework Statement
Show that the rate of change of the area of a circle with respect to its radius is the same as the circumference of the circle. Can you suggest why?
Homework Equations
A = [tex]\pi[/tex]r[tex]^{2}[/tex] = f(r)
L = 2[tex]\pi[/tex]r = g(r)
The Attempt at a Solution
I have showed that the derivative of f(r) is equal to g(r).
But I have no idea why the area and the circumference of the circle are related in such a way. Any suggestions greatly appreciated.
Thank you.