If the circumference of a circle and the perimeter of a square are equal, then
(A) Area of the circle = Area of the square
(B) Area of the circle > Area of the square
(C) Area of the circle < Area of the square
(D) Nothing definite can be said about the relation between the areas of thecircle and square.
(B) Area of the circle > Area of the square
Solution
circumference of a circle=
Let the radius of the circle = r
perimeter of a square =
let the side of a square = a
According to question
circumference of a circle = perimeter of a square
And
Hence Area of the circle > Area of the square.