Answer:
[tex]A=49\pi\ ft^2[/tex]
Step-by-step explanation:
Area Of A Circle
A circle with radius r has an area which can be computed by
[tex]A=\pi r^2[/tex]
We have a ball on one string making a circular pattern 7 feet from the pole, i.e. its radius is 7 feet. The area covered by the pattern is
[tex]A=\pi 7^2[/tex]
[tex]\boxed{A=49\pi\ ft^2}[/tex]