She needs to purchase a cover to protect the hot tub of an area of 38.5 square feet.
It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
Claire has a hot tub with a diameter of 7 feet. She wants to purchase a cover to protect the hot tub.
The area of the circle is given by
[tex]\rm Area = \dfrac{\pi}{4}d^2[/tex]
We have d = 7 ft, then the area of the circle will be
[tex]\rm Area = \dfrac{3.14}{4}*7^2\\\\Area = 38.5 \ ft^2[/tex]
More about the circle link is given below.
https://brainly.com/question/11833983
