The radius r of a circle is increasing at a rate of 7 centimeters per minute. (a) find the rate of change of the area when r = 1
2 centimeters.
1 answer:
Dr /dt = 7
A = pi r^2
dA / dr = 2pir
dA/dt = dA/dr * dr/dt = 2pir * 7 = 14pir
when r = 12 rate of change of the area = 14*pi*12 = 168pi
= 527.79 cm^2 / minute to nearest hundredth
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