Question

Find the area of square inscribed in a circle of radius 8cm.

Answer 1

Answer:

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

Step-by-step explanation:

Radius 8cm

diameter =2×8=16

diameter of the circle=hypotenuse of triangle

let side be x cm

by Pythagoras theorem

x^2+x^2=256

2x^2=256

x=128