Question

George plans to cover his circular pool for the upcoming winter season. The pool has a diameter of 20 feet and 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?

Answer 1

The cover has a circular shape,
with radius R = 20/2 feet + 12 inches = 10ft 12 in = 11 ft.

a.

To find the area of the pool cover we use the formula for the area of a circle:


`A= \pi R^(2) = \pi 11^(2)=121 \pi` (in^2)

b.

To find the length of the rope, we use the formula for the Circumference of a circle with radius R:

C=2πR=2π*11=22π (in)


Answer:

a. A = 121π (in squared) ≈ 121*3.14 (in squared) ≈ 380 (in squared)

b. C = 22π (in) ≈ 22*3.14 (in) ≈ 69 (in)