Step 1 :Given a semi-circle with a radius of 3 inches.
Step 2 :The formula for the area of a circle is \(\pi r^2\), where \(r\) is the radius of the circle.
Step 3 :Substitute \(r = 3\) into the formula to get the area of the full circle, \(\pi (3)^2 = 28.274333882308138\) square inches.
Step 4 :Since we are dealing with a semi-circle, we need to divide this area by 2 to get the area of the semi-circle, \(\frac{28.274333882308138}{2} = 14.137166941154069\) square inches.
Step 5 :Round to the nearest tenth to get the final answer.
Step 6 :Final Answer: The area of the semi-circle is approximately \(\boxed{14.1}\) square inches.