A round swimming pool has a circumference of 66 feet Carlos snags to buy a rope or put across the diameter of the pool the rope costs $0.45 per foot , and Carlos need 4 feet more than the diameter of the pool. how much will Carlos pay for the rope ?!

Verified Answer :

The circumference of a circle is the diameter times pi. So, 66 ft = pi x d. 66 divided by pi is roughly 21, so the diameter is 21 ft. 21 + 4 = 25. 25 x $0.45 = $11.25

Lanuel

The amount of money Carlos would pay for the rope is $11.268.

Given the following data:

  • Circumference of a circle = 66 feet.
  • Cost of rope = $0.45 per foot.
  • Required length = 4 feet.

How to calculate the diameter of a circle.

Mathematically, the circumference of a circle is given by the formula:

\(Circumference = \pi D\)

Where:

  • D is the diameter of a circle.

Substituting the given parameters into the formula, we have;

\(66=3.142 D\\\\D=\frac{66}{3.142}\)

D = 21.01 feet.

For the total diameter:

T = \(21.01 + 4\) = 25.04 feet.

Now, we can determine the amount of money Carlos would pay for the rope:

\(Amount = 25.04 \times 0.45\)

Amount = $11.268.

Read more on circumference of a circle here: brainly.com/question/14478195