Respuesta :
Answer:
157 square yards.
Step-by-step explanation:
Given:
Width of walk around a circular swimming pool = 2 yard
The diameter of the pool = 23 yard
Question asked:
What is the area of the walk ?
Solution:
To find area of walk, we will first calculate area of the pool and then combined area of pool and walk then after we will subtract the area of pool from combined area.
The diameter of the pool = 23 yard
Radius of the pool = [tex]\frac{diameter }{2}=\frac{23}{2} =11.5\ yard[/tex]
[tex]Area\ of\ circle=\pi r^{2}[/tex]
[tex]=3.14\times(11.5)^{2} \\=3.14\times11.5\times11.5=415.265\ square\ yard[/tex]
As width of walk around a circular swimming pool is 2 yard :
New radius will be = 11.5 + 2 = 13.5 yard
[tex]Combined\ area =\pi r^{2} \\[/tex]
[tex]=3.14\times13.5\times13.5=572.265\ square\ yard[/tex]
Now, area of the walk = Combined area of pool and walk - Area of the pool
= 572.265 - 415.265
= 157 square yards
Therefore, area of the walk is 157 square yards.
Answer: The area of the walk is 157 yds²
Step-by-step explanation:
The area of the walk = total area of the swimming pool and the walk - area of the swimming pool.
The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
Considering the swimming pool,
Diameter = 23 yds
Radius = diameter/2 = 23/2 = 11.5 yds
Area = 3.14 × 11.5² = 415.265 yds²
Considering the swimming pool and the walk,
Radius = 11.5 + 2 = 13.5 yds
Area = 3.14 × 13.5² = 572.265 yds²
Therefore, area of the walk is
572.265 - 415.265 = 157 yds²
