Observe the circle figure, the radius of the circle is
.
The area of the circle is
.

Apply formula:
.



The length of the rectangle is
and its width is
.
The area of the rectangle is
.
Rewrite as the difference of two products.

Apply distributive property:
.


Combine like terms.
\
The area of shaded region is
.


The area of shaded region is
.