What is the area of the largest square which can be inscribed in a circle of radius 28 cm?

1578 cm²

We have,

Radius of circle = 28cm

We know that the diagonal of the square which can be inscribed in a circle is equal to the diameter of the circle

So, the diagonal of square = 28 × 2 = 56 cm

= \(\sqrt {2}\) × a = 56

= a = 28\(\sqrt {2}\)

So, the area of square = a² = (28\(\sqrt {3}\))²

= 1568 cm²