Advertisement Remove all ads

Find the Rate of Change of the Area of a Circle with Respect to Its Radius R When R = 4 Cm - Mathematics

Find the rate of change of the area of a circle with respect to its radius r when r = 4 cm

Advertisement Remove all ads

Solution

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

`A = pir^2`

Now, the rate of change of the area with respect to its radius is given by, 

`(dA)/(dr) = (d)/(dr)(pir^2) = 2pir`

When r = 4 cm, 

`(dA)/(dr) = 2pi (4) = 8pi`

Hence, the area of the circle is changing at the rate of 8π cm when its radius is 4 cm.

 
  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

NCERT Class 12 Maths
Chapter 6 Application of Derivatives
Q 1.2 | Page 197
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×