Oil spilled from a tanker spreads in a circle whose circumference increases at a rate of

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

1. Oil spilled from a tanker spreads in a circle whose circumference increases at a rate of

40 \,\mathrm{ft} / \mathrm{sec}

. How fast is the area of the spill increasing when the circumference of the circle is

100 \pi

feet?