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2 August, 02:15

The radius r of a circle is increasing at a rate of 8 centimeters per minute. find the rate of change of the area when r = 39 centimeters

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  1. 2 August, 02:42
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    Dr/dt = 8cmM-¹

    dA/dt = ?

    but A = πr²

    so dA/dr = 2πr

    but recall

    dA/dt = dA/dr • dr/dt

    dA/dt = 2πr • 8cmM-¹

    dA/dt = 2*π*39 * 8 = 624cm²M-1
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