A circle grows so that its area increases at a constant rate
MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation
Problem
A circle grows so that its area increases at a constant rate. Which statement best describes how the instantaneous rate of change of the radius depends on the radius?
(a) It is directly proportional to the radius.
(b) It is inversely proportional to the radius.
(c) It remains constant regardless of the radius.
(d) It is directly proportional to the square of the radius.