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When a circular plate of metal is heated in an oven its radius increases at a rate of 0.04cm per min At what rate is the plates area increasing when the radius is 42cm?
Wiki User
∙ 12y ago
We note that the area of a circle is as follows: A = pir2.
Taking the derivative with respect to time:
dA/dt = 2pi * dr/dt
As r = 42cm and dr/dt = 0.04cm/min,
dA/dt = 2*pi*42cm*(1/25)cm/min
=84pi/25 cm2/min
= approx 10.556 cm2/min
Wiki User
∙ 12y ago
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