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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 po
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 ft?
1.921 ft?
3812 12

Respuesta :

Answer:

960ft2 just took the test

Step-by-step explanation:

The area of the pool that needs to be covered is; B: 960 ft²

What is the area of the pentagon?

We are given;

Radius of Pool; r = 20.1

Side length of Pool; a = 23.62

Now, the pool is a pentagon in shape and the area of a pentagon is given by;

A = ¹/₄√(5(5 + 2√5)a²)

where a is side length. Thus;

A = ¹/₄√(5(5 + 2√5)23.62²)

Solving this gives;

A = 959.86 ft²

Approximating to a whole number gives;

A = 960 ft²

Read more about area of polygon at; https://brainly.com/question/8409681

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