Answer:
18.84 in²
Step-by-step explanation:
The area of a circle is:
[tex]A=\pi r^2[/tex]
Therefore the area of a semicircle (half a circle) would be:
[tex]A=\frac{1}{2}\pi r^2[/tex]
First, let's start by finding the radius. Since the radius is half of the diameter then it is:
[tex]\frac{1}{2}*24=\frac{24}{2}=12[/tex]
Now, let's plug this into the equation and solve for the area (I will use 3.14 for π as the question asks for a decimal approximation):
[tex]A=\frac{1}{2}*12*3.14\\A=6*3.14\\A=18.84\ in^2[/tex]
