(Solved): Question 8 . ( 8 points) The radius of a circle is increasing at a constant rate of \( 0.6 \) mete ...

Question 8 . ( 8 points) The radius of a circle is increasing at a constant rate of \( 0.6 \) meters per second. What is the exact value of the rate of increase of the area of the circle at the instant when the circumference of the circle is \( 20 \pi \) meters? (Recall: \( C=2 \pi r, A=\pi r^{2} \), where \( r \) is the radius of the circle.)