At an instant when the radius of a circle is and is decreasing at

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

Problem

At an instant when the radius of a circle is

5\text{ m}

and is decreasing at

0.1\text{ m/s}

, describe whether the area of the circle is increasing or decreasing and briefly explain why.