Question

find the area of the square that can be insubscribe in a circle of radius 8 cm​

Answer 1

Answer:

Let ABCD be the square inscribed by the circle.

∴OA=OB=OC=OD

ABC is a right angled triangle, as OA=8,OB=8

AB=8+8=16

According to Pythagoras theorem,

Square of hypotenuse = Sum of squares of other two sides.

AC2=AB2+BC2

As ABCD is a square all the sides are equal, AB=BC

AC2=2AB2

162=2AB2

∴AB=82

therefore side of the square =82

Area of square =(82)2=128cm2