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It is desired to build a 1 meter wide sidewalk around a circular swimming pool. The diameter of the pool is 14 meters. What will be the area of ​​the sidewalk?

User Dhanesh
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2 Answers

1 vote

Answer:

pool area = ft*7²=49ft(m²)

the diameter of the pool+sidewalk = 14+2 = 16m

pool+sidewalk area = ft*8²= 64ft(m²)

sidewalk area: 64ft-49ft=15ft (cm²) approximately 47.1m² (ft=3.14)

Explanation:

It is desired to build a 1 meter wide sidewalk around a circular swimming pool. The-example-1
User Meules
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8.0k points
4 votes

Answer:

47.1 m²

Explanation:

Finding the area of sidewalk:

To find the area of sidewalk, we need to subtract the area of the swimming pool form the area of outer circle.

Area of outer circle:

diameter of circular swimming pool = 14 m

width of the sidewalk = 1 meter

diameter of the outer circle = 14 + 2 = 16m

radius of outer circle = 16 ÷2

r₁ = 8 m


\boxed{\text{\bf Area of circle = $\bf \pi r^2$ }}

Area of outer circle = 3.14 * 8 * 8

= 200.96 m²

Area of circular swimming pool:

Diameter of swimming pool = 14 m

radius = r = 14 ÷ 2

r = 7 m

Area of swimming pool = 3.14 * 7 * 7

= 153.86 m²

Area of sidewalk:

Area of the sidewalk = 200.96 - 153.86

= 47.10 m²

Answer: 47.1 m²

User Nils Reichardt
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8.1k points

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