Question

Circle O has a circumference of approximately 2501 ft.

Answer 1

Answer:

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

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

Step-by-step 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:

$r=\frac{C}{2\pi}$

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

 $r=\frac{2,501ft}{2\pi}=398.04ft$

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:

 $r=\frac{250ft}{2\pi}=39.78ft$

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