Question

Fine the area of a square inscribed in a circle of radius 8cm​

Answer 1

Step-by-step explanation:

Given,

Radius = r=8cm

∵ The diagonals of square subtend right angle at circumference.

∴The diagonals of square are diameters of circle.

BD = 2*8 = 16cm

Let the sides of square be 'x' cm

in the right angle triangle BCD,

BC² +CD² = BD²

x² + x² = 16²

2x² = 256

x² = 128

Thus the area of square is x² = 128cm² 

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!