Question

Denise wants to irrigate a circular field she Denise will irrigate the field with a straight pipe as shown by the dash line the pipe a Rotate about the center of the field she knows that the circular field has an area of 125,600 ft.² what is the length of the irrigation pipe ? Use 3.14 for pi

Answer 1

A) 200

Explanation:

the irrigation pipe here will be the radius of the circle.

so, we need to use the area of a circle formula to find the radius:

`a = \pi {r}^(2)`

where a is area and r is radius.

now, we have area as 125 600.

substitute the value of a given as well as the approximation of pi.

`125600 = 3.14 {r}^(2)`

then, divide both sides by 3.14 and then take the square root,

`{r}^(2) = (125600)/(3.14) \implies \: {r}^(2) = 40000`

`\to r = √(40000) = 200`

so, our answer is A.

Answer 2

A) 200 ft

Explanation:

The area (
`\sf A`) of a circle is given by the formula:

`\sf A = \pi r^2`

where
`\sf r` is the radius.

In this case, we know the area
`\sf A` is 125,600 square feet, and we want to find the length of the irrigation pipe, which is the radius of the circle.

Now, let's use the given information to find the radius (
`\sf r`) f.

`\sf A = \pi r^2`

`\sf 125,600 = \pi r^2`

Now, solve for
`\sf r`:

`\sf r^2 = (125,600)/(\pi)`

`\sf r = \sqrt{(125,600)/(3.14 )}`

`\sf r = √(40000)`

`\sf r = 200`

So, the length of the pipe is A) 200 ft