the area of the square that can be inscribed in circle of radius 8cm is ?

When a square is inscribed in a circle, the diagonal of a square must be equal to the diameter of circle.

Let the side of square be s.

Then,

Diagonal of square = V2 a

Thus, we have:

V2 a = 16 cm

a = 16/V2 cm = 8V2 cm

 

Thus, area of the square = (8 V2 cm)² = 128 cm²