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2 years ago

A swimming pool is shaped like the figure below. Each end is a semicircle, and the length and

Mathematics

1 answer:

Mnenie [13.5K]2 years ago

7 0

The area of the border around the pool is determined as 145.97 ft².

Diameter of the circle = 20 ft

Radius of the circle = 10 ft

<h3>Area of circular portion:</h3>

Area = π(10²) = 314.16 ft²

<h3>Area of rectangular portion</h3>

A = 40 ft x 20 ft = 800 ft²

Pool area = 314.16 ft² + 800 ft² = 1,114.16 ft²

<h3>Overall area which include 1 foot border</h3>

Diameter of the circle = 20 ft + 1ft + 1 ft = 22 ft

Radius of the circle = 11 ft

<h3>Area of circular portion:</h3>

A = π(11²) = 380.13 ft²

<h3>Area of rectangular portion:</h3>

A = 22 ft x 40 ft = 880 ft²

Total area = 880 ft² + 380.13 ft² = 1,260.13 ft²

<h3>Area of the border</h3>

Area of border = Total area - pool area

Area of border = 1,260.13 ft² - 1,114.16 ft²

Area of border = 145.97 ft²

Thus, the area of the border around the pool is determined as 145.97 ft².

Learn more about area of circle here: brainly.com/question/12269818

#SPJ1

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