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Rate of Change of a Circle's Area
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If the radius of a circle increases linearly with time as shown above, what is the rate of change of the circle’s area at $$t = 4\,s$$?

t (s) r (cm)
0 3
2 4
4 5
A

$$2.5\pi \;cm^2/s$$

B

$$\pi \;cm^2/s$$

C

$$5\pi \;cm^2/s$$

D

$$10\pi \;cm^2/s$$

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