Homework SourseThe radius of a circle is increasing at a rate of 3cmsec Whe
The radius of a circle is increasing at a rate of 3cm/sec. When the radius of the circle is 40cm, how fast is the area of the circle increasing, in cm^2/sec?
Solution
The radius of a circle is increasing at a rate of 3cm/sec. When the radius of the circle is 40cm, how fast is the area of the circle increasing, in cm^2/sec?
dr/dt = 3
a = pi r^2
da/dt = 2 pi r dr/dr = 2*40*pi*3 = 753.98223686155038 cm^2/ sec
