Question

George plans to cover his circular pool for the upcoming winter season. The pool has a diameter of 20 feet and the cover extends 12 inches beyond the edge of the pool. A rope runs along the edge of the cover to secure it in place.

a.
What is the area of the pool cover?
b. What is the length of the rope?
you must show all work to receive full credit. please I need help on part b I have part a correct.

Answer 1

The cover would have a diameter of 22 feet ( 20 feet plus 1 foot ( 12 inches) on each side)

The formula for area of a circle is A = PI x r^2

r = 1/2 the diameter = 1/2 x 2 = 11 feet

A) Area = PI x 11^2 = PI x 121 = 380.13 square feet ( round answer as needed).

The length of the rope would be the circumference of the cover.

To find the circumference multiply the diameter by PI:

B) 22 feet x PI = 69.12 feet ( round answer as needed).