First find the area of the two regions circle and quadrilateral
.
Find the area of circle.
\The circle equation is .
Rewrite the circle equation as .
Compare it with circle equation , where
is radius of circle.
Radius of the circle .
Formula for the area of the circle is .
Substitute in
.
Area of the circle square units.
Find the area of quadrilateral.
\The quadrilateral inside the circle is a square.
\Let the length of the square is and diagonal is
.
Length of the diagonal of a square, multiply the length of one side by the .
equation
Observe the diagram : Radius of the circle is the half part of the diagonal of square.
\Substitute .
.
Substitute in equation
.
.
Side length of the square units.
Find the area of the square .
square units.
The area of the blue shaded region .
square units.
The area of the blue shaded region square units.