The circumference of a circle increases at a constant rate of

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

Problem

0.5\,\text{cm/s}

. Find the rate at which its area is increasing when the radius is

10\,\text{cm}

. (a)

5\pi\,\text{cm}^{2}/\text{s}

(b)

10\pi\,\text{cm}^{2}/\text{s}

(c)

5\,\text{cm}^{2}/\text{s}

(d)

10\,\text{cm}^{2}/\text{s}