**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}= 4r^{2 },Where as Area of circle = πr^{2}
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) Area of square = x

^{2}= πx^{2}/4, Where as^{2}
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