What is the area of the largest square which can be inscribed in a circle of radius 14 cm? Take ($π=\frac{22}{7}$)

392 cm²

We know that,

Area of the square = (side)²

We have,

Diameter of the circle = Diagonal of the square

Radius = 14 cm

We know,

Diameter of the circle = Diagonal of the square

= Diagonal of the square = 28 cm

= Side × \(\sqrt {2}\) = 28

= Side = 14\(\sqrt {2}\) cm

Area of the square = (side)² = (14\(\sqrt {2}\))² = 392 cm².