#### Question

The rate of change of the area of a circle with respect to its radius *r* at *r* = 6 cm is

(A) 10π

(B) 12π

(C) 8π

(D) 11π

#### Solution

The area of a circle (*A)* with radius (*r*) is given by,

Hence, the required rate of change of the area of a circle is 12π cm^{2}/s.

The correct answer is B.

Is there an error in this question or solution?

Solution The Rate of Change of the Area of a Circle with Respect to Its Radius R At R = 6 Cm is Concept: Rate of Change of Bodies Or Quantities.