we have that
The area of the blue region is equal to the area of the complete circle minus the area of the interior rectangle
so
Step 1
Find out the area of the complete circle
[tex]A=\pi\cdot r^2[/tex]
where
r=6 in
substitute
[tex]\begin{gathered} A=\pi\cdot6^2 \\ A=113.10\text{ in2} \end{gathered}[/tex]
step 2
Find out the area of the rectangle
A=(7)*(5)
A=35 in2
therefore
the area of the blue region is
A=113.10-35
A=78.10 in2
