Answer:
B. [tex]113.04\text{ ft}^2[/tex]
Step-by-step explanation:
We have been given that the circumference of the trampoline is 37.68 feet.
First of all, we will use circumference of circle formula to find the radius of trampoline.
[tex]\text{Circumference of circle}=2\pi r[/tex]
[tex]37.68=2*3.14 r[/tex]
[tex]r=\frac{37.68}{2*3.14}[/tex]
[tex]r=6[/tex]
Since the radius of trampoline is 6 feet, so the area of trampoline would be:
[tex]\text{Area of trampoline}=pi*r^2[/tex]
[tex]\text{Area of trampoline}=3.14\times 6^2[/tex]
[tex]\text{Area of trampoline}=3.14\times 36[/tex]
[tex]\text{Area of trampoline}=113.04[/tex]
Therefore, Nina has approximately 113.04 square feet area to bounce on.
