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 ?!

Respuesta :

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:

[tex]Circumference = \pi D[/tex]

Where:

  • D is the diameter of a circle.

Substituting the given parameters into the formula, we have;

[tex]66=3.142 D\\\\D=\frac{66}{3.142}[/tex]

D = 21.01 feet.

For the total diameter:

T = [tex]21.01 + 4[/tex] = 25.04 feet.

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

[tex]Amount = 25.04 \times 0.45[/tex]

Amount = $11.268.

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

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