Question

Find The Area of the square that can be inscribed in a circle of radius 8 cm​

Answer 1

Answer:

201.142sq cm

Step-by-step explanation:

π×r sq=

22/7*8*8=201.142

Answer 2

Given data,

A square is inscribed in a circle.

The radius of the circle is $8cm$

$r=8cm$

As we know the formula for diameter(d)

$d=2r$

$d=2(8)$

$d=16cm$

Also if a square is inscribed in a circle, its diameter will be equal to diagonal of a square.

So,

Length of a diagonal is $16cm$

Also we know by the formula,

Area of a square is equal to diagonal square divided by two.

$A=\frac{Diagonal^{2} }{2}$

$A=\frac{16^{2} }{2}$

$A=\frac{256}{2}$

$A=128cm^{2}$

Therefore, the area of a square that is inscribed in a circle is $128cm^{2}$