Question

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

Answer 1

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

Answer 2

Hey there!

Given,

Radius of circle = 8 cm

Diameter = 2 * r = 16 cm

Here, The diameter of circle = diagonal of square = 16 cm

Then, Area of square = diagonal^2/2

                                  = 16^2/2

                                  = 256/2

                                  = 128 cm²

Good day!