Answer:
[tex]A=0.8836[/tex]
Step-by-step explanation:
Area of circle:
[tex]\pi r^2[/tex]
By using the area of a circle, we can get the area of a semicircle:
[tex]\frac{\pi r^2}{2}[/tex]
Let's convert the mixed fraction to an improper fraction and then a decimal:
[tex]1\frac{1}{2}[/tex] = [tex]\frac{3}{2}[/tex] = [tex]1.5[/tex]
Now, we solved for the diameter, to get the radius, we need to divide the diameter by 2:
[tex]\frac{1.5}{2} =0.75[/tex]
Now we have the radius, so we can plug in our values and find the area:
[tex]\frac{\pi0.75^2}{2} = 0.88357293[/tex]
[tex]A=0.88357293[/tex]
