A circle’s radius is increasing at a constant rate of

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

Problem

3\text{ cm/s}

. What is the instantaneous rate of change of the circle’s circumference when the radius is

10\text{ cm}

? (a)

20\pi\text{ cm/s}

(b)

60\pi\text{ cm/s}

(c)

6\pi\text{ cm/s}

(d)

30\pi\text{ cm/s}