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.