Geometry Concepts -3

When a circle is inscribed in a square, then

Diameter of the Circle = Side of the Square

(1) If the radius of the circle is given as ‘r’, then area/perimeter of the square can be determined as given below:

Side of square = Diameter of circle = 2r

=> Area of square = (2r)² = 4r² ,Where as Area of circle = πr²

Perimeter of square = 4(2r) = 8r, Where as Perimeter of circle = 2 π r

(2) If the side of the square is given as ‘x’, then area/perimeter of the circle can be determined as given below:

Diameter of circle = side of square = x => Radius of circle = x/2

=> Area of circle = π(x/2)² = πx²/4, Where as Area of square = x²

Perimeter of circle = 2 π (x/2) = πx, Where as Perimeter of square = 4x