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A community pool that is shaped like a regular pentagon needs a new cover for the winter months. The radius of the pool is 20.10 ft. The pool is 23.62 ft on each side. To the nearest square foot, what is the area of the pool that needs to be covered? 192 ft2 960 ft2 1,921 ft2 3,842 ft2

Respuesta :

Answer:

B. 960 ft^2

Explanation:

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Lanuel

Based on the calculations, the area of this pentagonal pool that needs to be covered is equal to: B. 960 ft².

Given the following data:

Radius of pool = 20.10 ft.

Side length of pool = 23.62 ft.

How to calculate the area of the pool?

Mathematically, the area of a regular pentagon can be calculated by using this formula:

A = ¹/₄√(5(5 + 2√5)a²)

Where:

a is side length.

Substituting the parameters into the formula, we have:

A = ¹/₄√(5(5 + 2√5)23.62²)

A = ¹/₄√(5(5 + 2√5)557.9044)

A = 959.86 ≈ 960 ft².

Read more on pentagonal prism here: brainly.com/question/12981405

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