Question

The radius of a circle is increasing uniformly at the rate of 3 cm/s. Find the rate at which the area of the circle is increasing when the radius is 10 cm.

Answer 1

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

A=πr²

Now, the rate of change of area (A) with respect to time (t) is given by,

Hence, the rate at which the area of the circle is increasing when the radius is 10 cm is 60π cm^2/s.