Question

Please answer to the attachment

Answer 1

61] $\boxed{\boxed{\tt{Solution :- }}}$

Perimeter of square = 4 × side

➾ 56 √2 = 4 × side

➾ side = 56 √2 / 4

∴ $\boxed{side \: = \: 14\surd{2}}$

Now, we will find the diameter

Diameter = √2 × side

➾ √2 × 14√2

➾ 14 × 2

∴ $\boxed{Diameter \: = \: 28cm}$

Now, we will find the radius

r = d/2

➾ 28/2

∴ $\boxed{Radius\:=\:14cm}$

Now, area of the shaded region

Area of circle - Area of square

➾ πr² - (side)²

➾ 22 / 7 × 14 × 14 - (14√2)²

➾ 616 - 196 × 2

➾ 616 - 392

∴ Area of the circle is $\boxed{\boxed{\tt{224cm^2}}}$

$\large{\boxed{\boxed{\tt{Thanks}}}}$

Answer 2

Hey mate

$perimeter \: of \: square \: = 4 \times side \\ = 56 \sqrt{2} = 4 \times side \\ side = \sqrt{56} = \frac{2}{4} \\ side = 14 \sqrt{2} \\ \\ diameter = \sqrt{2} \times side \\ \sqrt{2} = 14 \sqrt{2} \\ 14 \times 2 \\ = 28 \\ diameter \: is \: 28 \\ \\ radius = \frac{d}{2} \\ \frac{28}{2} = 14cm \\ \\ area \: of \: shaded \: portion \: = area \: of \: circle - area \\ of \: square \\ \pi {r}^{2} - {side}^{2} \\ \ \frac{22}{7} \times 14 \times 14 - (14 \sqrt{2}) {}^{2} \\ 616 - 196 \times 2 \\ 616 - 392 \\ = 224 {cm}^{2}$
Hope it helps uh