Question

Circle O has a circumference of approximately 2501 ft.

What is the approximate length of the diameter, d?
0 40 ft
O 80 ft
O 125 ft
O 250 ft​

Answer 1

If the circumference of the circle is 250 feet → SECOND OPTION (
`d` ≈
`80ft`)

If the circumference of the circle is 2,501 feet →
`d` ≈
`796ft`

Explanation:

We need to remember that the formula for calculate the circumference of a circle is this one:

`C=2\pi r`

Where "r" is the radius of the circle.

Knowing the circumference of this circle, we can solve for the radius from the formula:

`r=(C)/(2\pi)`

If the circumference of the circle is 2,501 feet:

`r=(2,501ft)/(2\pi)=398.04ft`

Since the diameter is twice the radius, we get that the approximate lenght of the diameter of this circle is:

`d=2(398.04ft)`

`d` ≈
`796ft`

If the circumference of the circle is 250 feet:

`r=(250ft)/(2\pi)=39.78ft`

Since the diameter is twice the radius, we get that the approximate lenght of the diameter of this circle is:

`d=2(39.78ft)`

`d` ≈
`80ft`

Answer 2

For this case we have that by definition, the circumference of a circle is given by:

`C = \pi * d`

Where:

d: Is the diameter of the circumference

According to the data we have to:

`C = 250ft`

Substituting:

`250 = \pi * d\\Taking\ \pi = 3.14\\250= 3.14 * d\\d = \frac {250} {3.14}\\d = 79,6178343949`

Rounding out we have that the diameter is: 80

Answer:

Option B