Find how fast the circumference of a circl is growing, if its radius $r$ grows according to the following equation:
$\frac{d r}{d t} = 7 \frac{cm}{s}$
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Answer

$Final Answer: The circumference of the circle is growing at a rate of approximately 43.98 cm/s$

Steps

Step 1 ：Given the rate at which the radius is growing: $\frac{d r}{d t} = 7 \frac{cm}{s}$

Step 2 ：Find the rate at which the circumference is growing: $\frac{d C}{d t} = 2 * π * \frac{d r}{d t}$

Step 3 ：Plug in the given value: $\frac{d C}{d t} = 2 * π * 7 \frac{cm}{s}$

Step 4 ：Calculate the value of $\frac{d C}{d t}$ : $\frac{d C}{d t} \approx 43.98 \frac{cm}{s}$

Step 5 ： $Final Answer: The circumference of the circle is growing at a rate of approximately 43.98 cm/s$