Math circumference

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

Do you mean that the pool COVER extends 12 inches beyond the edge of the pool?  As currently worded, it says "The POOL has a diameter of 20 feet and extends 12 inches beyond the edge of the POOL", which does not make sense.  I will assume you meant the pool COVER extends 12 inches beyond the edge of the pool.

 

(a)

 

A = πd²/4 = π{[(20 + 2(1)] ft}² / 4 ≅ 380.13 ft²

 

(b)

 

I will assume the length of the rope is the same as the circumference of the cover.

 

L = πd = π[(20 + 2(1)] ft ≅ 69.12 ft