Dwoods3454 Dwoods3454
  • 22-02-2022
  • SAT
contestada

The area of a small pond is 78. 5 yds. What is the diameter of the pond?.

Respuesta :

theleangreenbean
theleangreenbean theleangreenbean
  • 22-02-2022

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!

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