Question

find the area of the square that can be inscribed in a circle of radius 8 cm
$\pi$
​

Answer 1

Answer:

Correct option is

B

128 cm

2

Diagonal of square inscribed in a circle = Diameter of circle.

Therefore, d=8+8=16cm

Side of square, a=

2

d

=

2

16

Area of square =(

2

16

)

2

=

2

256

=128cm

2

Answer 2

let the side of square inscribed be 'a'.

Diameter of circle will be equal to diagonal of square

So,

d = 2 * radius

d = 2 * 8 = 16 cm

Diagonal of square = a√2 = 16

a = 16 /√2 = 8√2

Area of square = a^2 = (8√2)^2

= 128