Question

Answer the file attached

Answer 1

Step-by-step explanation:

Let the radius of circle be "r"

=> Diagonal of a square = 2r

$digonal \: of \: the \: square = side\sqrt{2}$

$= > 2r = side \sqrt{2}$

$= > 4 {r}^{2} = ( {side \sqrt{2} )}^{2}$

$= > 4 {r}^{2} = 2 {side}^{2}$

$= > 2 {r}^{2} = {side}^{2}$

$= > 2 {r}^{2} = area \: of \: the \: square$

Area of shaded region = Area of circle - Area of square

$= > 144\pi - 288 = \pi {r}^{2} - 2 {r}^{2}$

$= > 144(\pi - 2) = {r}^{2} (\pi - 2)$

$= > 144 = {r}^{2}$

$= > r = 12$

Radius of the circle = 12 units