A circle’s radius increases at a constant rate of

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A circle’s radius

r

increases at a constant rate of

3\text{ cm/s}

. When

r=10\text{ cm}

, what is the rate of change of the circle’s area? (a)

120\pi\text{ cm}^2/\text{s}

(b)

30\pi\text{ cm}^2/\text{s}

(c)

60\pi\text{ cm}^2/\text{s}

(d)

300\pi\text{ cm}^2/\text{s}