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ZanzabumX [31]
3 years ago
12

The area of a small pond is 78.5 yds. What is the diameter of the pond?

Mathematics
1 answer:
Zolol [24]3 years ago
7 0

Answer:

Diameter of pound = 10 yd

Step-by-step explanation:

Given area of circular pond = 78.5 square yd

To find the diameter of the pond.

Solution:

The pond being circular in shape, the area of pond can be given as:

⇒ \pi\ r^2

where r represents radius of the pond.

Thus, we have:

⇒ \pi\ r^2=78.5

Using \pi=3.14

⇒ 3.14r^2=78.5

Solving for r

Dividing both sides by 3.14

⇒ \frac{3.14r^2}{3.14}=\frac{78.5}{3.14}

⇒ r^2=25

Taking square root both sides.

⇒ \sqrt{r^2}=\sqrt{25}

⇒ r=\pm5

So, radius = 5 yd, as distances are always positive.

Diameter = 2\times radius=2\times 5\ yd= 10\ yd

Thus, diameter of pound = 10 yd

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