Question

The area of a square that can be inscribed in a circle of area 1408/7 cm² is​

Answer 1

$area \: of \: circle \: = \pi {r}^{2}$

$\frac{1408}{7} = \frac{22}{7} \times {r}^{2}$

$\frac{1408}{7} \times \frac{7}{22} = {r}^{2}$

r² = 1408/22 = 64

Radius of circle (r) = 8

Diameter = 2r = 2 X 8 = 16

Diagonal of a square is equal to diameter of a circle which inscribe in it.

.: Diagonal of Square = 16 cm

$area \: of \: a \: square \: = \frac{diagonl }{ \sqrt{2} }$

(next steps please see in image)

Answer 2

Step-by-step explanation:

the answer is 8 root 2

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