$\"\"$

\

The diameter of the semi circle is $\"\"$ .

\

The radius of the semi circle is $\"\"$ .

\

The length of the chord $\"\"$ .

\

Area of the semi circle is $\"\"$ .

\

Substitute $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

The area of the semi circle is $\"\"$ .

\

$\"\"$

\

The triangle $\"\"$ is a right angle triangle.

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

The area of the triangle $\"\"$ is $\"\"$ .

\

Substitute $\"\"$ and $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

Area of the shaded region is $\"\"$ .

\

Substitute $\"\"$ and $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

The area of the shaded region is $\"\"$ .

\

$\"\"$

\

The area of the shaded region is $\"\"$ .