Answer:
11,300 ft.²
Step-by-step explanation:
First you would need to use the pythagorean theorem ([tex]a^{2} + b^{2} = c^{2}[/tex]) to find the missing side of the triangle
[tex]80^{2} + x^{2} = 100^{2}[/tex]
6400 + [tex]x^{2}[/tex] = 10,000
[tex]x^{2}[/tex] = 3600
x = 60
Now that you know the missing side is 60, that side is also the radius, so you would plug that into the formula for the area of a circle ([tex]\pi r^{2}[/tex])
[tex]\pi[/tex]×[tex]60^{2}[/tex]
3600[tex]\pi[/tex]
≈11,309.73 so approx. 11,300 ft.²
