Question

You have 100 feet of fencing to build a circular sheet pen. what is the diameter of the largest pen you can build?

Answer 1

The diameter of the largest pen you can build is 31.8 feet to the nearest tenth.

EXPLANATION

You have 100 feet of fencing to build a circular sheet pen.

The largest diameter you can get is when you use all the 100 feet of fencing to build the sheet pen.

The circumference of the circular sheet pen must then be 100 feet.

Then using the formula for circumference, we have:

C=πd

100=πd

`d = (100)/(\pi)`

d=31.83 ft.

Answer 2

The diameter of the largest pen you could build is
`(100)/(\pi )` or
`31.8309` ft

Explanation:

As the equation for the circumference of a circle is

`C=d\pi`

We can plug in the known value for C, which is 100 and solve for d

`100=d\pi`

`d=(100)/(\pi )`