Ask Question
1 June, 15:42

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 = 12 centimeters.

+2
Answers (1)
  1. 1 June, 16:47
    0
    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
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “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 = 12 ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers