Answer:
well I didn't know the exact shape inscribed in the inner square but I found you the area of the shaded part of the circle
Step-by-step explanation:
first of all find total area of circle
[tex]a = \pi \: r^{2} \\ [/tex]
diameter of the circle is equal to the side of the square then radius is 10
then area is
[tex]100\pi[/tex]
then find the square inscribed
of diagonal equal to diameter
then apply Pythagorean theorem
[tex]2a^{2} = diagonal^{2} \\ a^{2} = \frac{20^{2} }{2} \\ a^{2} = 200 \\ a = 10 \sqrt{2} [/tex]
then area of square is
[tex]100\pi \: - (10 \sqrt{2} )^{2} \\ = 114.1592[/tex]
