Answer:
About 25.13 yards^2
Step-by-step explanation:
The area of a semicircle can be found using the following formula:
[tex]a=\frac{\pi r^2}{2}[/tex]
We know that the radius is 4 yards. Therefore, we can substitute 4 yards in for r.
[tex]a=\frac{\pi (4 yards)^2}{2}[/tex]
First, evaluate the exponent.
(4 yards)^2=4 yards *4 yards= 16 yards^2
[tex]a=\frac{\pi * 16 yards^2 }{2}[/tex]
Multiply pi and 16 yards^2.
[tex]a=\frac{50.2654825 yards^2}{2}[/tex]
Divide 50.2654825 yards^2 by 2.
[tex]a=25.1327413 yards^2[/tex]
Rounded to the nearest hundredth:
[tex]a=25.13 yards^2[/tex]
The area of the semicircle is about 25.13 square yards.
