Answer:
56.6 square yards.
Step-by-step explanation:
Given:
A fountain in the park has two circular pools that are the same size.
<u>Question asked:</u>
What is the total area of the pools if the radius is 3 yards ?
<u>Solution:</u>
First of all we will calculate the area of a circular pool.
As we know:
![Area\ of\ circle=\pi r^{2}](https://tex.z-dn.net/?f=Area%5C%20of%5C%20circle%3D%5Cpi%20r%5E%7B2%7D)
![=\frac{22}{7} \times(3)^{2} \\ \\ =\frac{22}{7}\times9\\ \\ =\frac{198}{7} \\ \\ =28.28\ square\ yards](https://tex.z-dn.net/?f=%3D%5Cfrac%7B22%7D%7B7%7D%20%5Ctimes%283%29%5E%7B2%7D%20%5C%5C%20%5C%5C%20%3D%5Cfrac%7B22%7D%7B7%7D%5Ctimes9%5C%5C%20%5C%5C%20%3D%5Cfrac%7B198%7D%7B7%7D%20%5C%5C%20%5C%5C%20%3D28.28%5C%20square%5C%20yards)
Area of circular pool nearest tenth = 28.3 square yards
Now, as given that both pools are of same size.
Total area of the pools = 28.3 square yards + 28.3 square yards
= 56.6 square yards.
Thus, the total area of the pools are 56.6 square yards.