Question

Can someone please help me answer this?

Answer 1

Answer:

B

Step-by-step explanation:

If you don't understand some steps, comment it for me please.

1. Find diagonal.

d = 2r

d = 2(9)

d = 18

2. Find length of square.

each length of square = x

$x : 18 = 1 : \sqrt{2}$

$\frac{x}{18} = \frac{1}{\sqrt{2} }$

$\sqrt{2}x = 18$

$x = \frac{18}{\sqrt{2} } = 9\sqrt{2}$

3. Find area of circle and square.

Area for circle

$A = \pi r^2$

$A = \pi (9)^2$

$A = 81\pi = 254.4690...$

Area for square

$A = (length)^2$

$A = (9\sqrt{2})^2$

$A = 162$

4. Subtract area of circle to area of square.

254.4690... - 162 = 92.4690...

5. Find the shaded region.

92.4690... / 4 = 23.1172...

Rounded to the nearest hundredth = 23.12