Given the sum of the perimeter of a circle and square. Show that the sum of their areas is least when the side of square is equal to diameter of the circle.

Question

Shiksha Nation · Accepted Answer

Let r be the radius of the circle and a be the side of the square.Then, we have:

Given the sum of the perimeter of a circle and square. Show that the sum of their areas is least when the side of square is equal to diameter of the circle.

Verified Answer