A square is inscribed in a circle of radius 7 cm. Find the area of the square.

Diagonal of the square = Diameter of the circle. Radius of circle = 7 cm Diameter of circle = 2 x 7 cm = 14 cm Diagonal of square = 14 cm Let `s` be the side of square. By using the Pythagoras theorem, Base 2 \+ Height 2 = Hypotenuse 2 ⇒ s 2 \+ s 2 = 14 2 ⇒ 2s 2 = 196 ⇒ s 2 = ⇒ s 2 = 98 cm ⇒ s = cm Area of square = Side 2 = cm 2 = 98 cm 2 Hence, the area of the square is 98 cm 2 .