Friday, 18 November 2011

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

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