Question 1188245

use the diagonal AC to visualize two right triangles, each one has shaded segments of a circle
 
the shaded region  is cut by diagonal into two equal portions 

find  the area of the  one portion and double it

<a href="https://ibb.co/kg940Cb"><img src="https://i.ibb.co/kg940Cb/Capture11-29-2021-5-50-54-PM.jpg" alt="Capture11-29-2021-5-50-54-PM" border="0"></a>

so

<a href="https://ibb.co/mGDL8Ff"><img src="https://i.ibb.co/mGDL8Ff/Capture11-29-2021-5-52-28-PM.jpg" alt="Capture11-29-2021-5-52-28-PM" border="0"></a>



area of {{{(1/2)}}} of shaded region= {{{(1/4)}}} area of the circle minus area of the triangle

side of square {{{a=8}}}

{{{(1/4)}}} area of the circle={{{(1/4) *8^2*pi}}}
area of the triangle={{{(1/2)8^2}}}

area of {{{(1/2)}}} shaded region={{{(1/4) *8^2*pi-(1/2)8^2=18.27}}}

double it

area of shaded region={{{2*18.27=36.54cm^2}}}