For circumscribed circle:
Radius = diagonal of square/ 2
Diagonal of the square = side x √2
= 10√2 cm
Radius = (10 × 1.414)/ 2 = 7.07 cm
Thus, the radius of the circumcircle = 7.07 cm
Then, its area is = πr2 = (22/7) × 7.07 × 7.07 = 157.41 cm2
Therefore, the Area of the Circumscribed circle is 157.41 cm2
For inscribed circle:
Radius = side of square/ 2
= 10/ 2 = 5 m
Then, its area is = πr2 = 3.14 × 5 × 5 = 78.5 cm2
Thus, the area of the circumscribed circle is 157.41 cm2 and the area of the inscribed circle is 78.5 cm2.
