Answer:
10 yards
Explanation:
Hi there!
Area of a circle formula:
[tex]A=\pi r^2[/tex]
Plug in the area 78.5 yds:
[tex]78.5=\pi r^2[/tex]
Isolate r:
[tex]\displaystyle\frac{78.5}{\pi} =r^2\\\\\sqrt{\displaystyle\frac{78.5}{\pi}} =r[/tex]
The diameter of the pond is equal to double its radius:
[tex]2\sqrt{\displaystyle\frac{78.5}{\pi}} =d[/tex]
[tex]d = 9.9974\\d \approx 10[/tex]
Therefore, the diameter of the pond is approximately 10 yards.
I hope this helps!
