The sum of the perimeters of a square and a circle is given. Show that the sum of their areas is minimum when the length of a side of the square is equal to the diameter of the circle.

The sum of the perimeter of a circle and square is k, where k is some constant. Prove that the sum of their areas is least when the side of square is double the radius of the circle.

The sum of the perimeters of a circle and a square is k , where k is some constant. Prove that the sum of their areas is least when the side of the square is double the radius of the circle.

The sum of the surface areas of a sphere and a cube is given. Show that when the sum of their volumes is least, the diameter of the sphere is equal to the edge of the cube.

The sum of the surface areas of a sphere and a cube is given. Show that when the sum of their volumes is least, the diameter of the sphere is equal to the edge of the cube.

The sum of the surface areas of a sphere and a cube is given. Show that when the sum of their volumes is least, the diameter of the sphere is equal to the edge of the cube.

If the perimeter of a circle is equal to that of a square, then the ratio of their areas is

The side length of a square inscribed in a circle is 2. what is the area of the circle?

Find the perimeter and area of a square of side 9 cm .

A wire of length l is cut into two parts. One part is bent into a circle and the other into a square. Prove that the sum of the areas of the circle and the square is the least, if the radius of the circle is half of the side of the square.

Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals.