Question

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

Answer 1

Given radius of the circle is 8 cm.
Therefore, diameter of the circle=(8*2)cm=16cm.
Let the side of the square= a cm
Therefore, diagonal of the square= a*root over of 2cm.
By the condition,
a*root over of 2=16
or, a=16/root over of 2
or, a²=(16/root over of 2)²=16*16/2=128cm².
Hope this is the right answer.

Answer 2

hello users ...

Solution:-
we know that
The length of Diagonal inside a  square = a√2 unit
And
Area of square = a²

where, a is the side of square.

Here,
Diagonal of square inscribed inside  a circle  = r + r = 2r 

=> Diagonal = 2 * 8  = 16 cm 

=> a√2 = 16 cm 

=> a = 16 / √2  = 8√2 cm 

Now,
Area = a² 
= (8√2)² 
= 64 * 2 
= 128 cm² Answer

# hope it helps :)