Question

A farmer is making a circular pen for her pigs. She needs the pen to have a diameter of 26 feet. If fencing costs $32 per foot, which is the closest to the total cost of the fence that the farmer needs to make the pen?

A) $2894.01
B) $ 2765.19
$ 2612.48
D) $ 2578.94​

Answer 1

C

Explanation:

circumference= 2* pie*(26/2)

Answer 2

`\boxed {\boxed {\sf C. \$ 2612.48 }}`

Explanation:

We are asked to find the cost of the fence a farmer needs to make a pen.

Feet

The fence is used to make a circle. We want to find the cost, but we first need to find how many feet of fence is needed. Essentially, we have to find the perimeter, but this is called the circumference because it is a circle. The formula for calculating circumference is:

`c= \pi d`

The diameter (d) of the pen is 26 feet and we can use 3.14 for pi. Substitute these values into the formula.

`c=3.14 * 26 \ ft`

Multiply.

`c= 81.64 \ ft`

Cost

The farmer needs 81.64 feet of fencing. The cost of fencing is $32 per foot, so we multiply the cost by the feet needed.

`\$32 / ft * 81.64 \ ft`

The units of feet cancel

`\$ 32 * 81.64`

`\$2612.48`

The cost of the fencing is $2612.48 and choice C is correct.