To find circumstancial circumference we need to find the radius which by circumstance is:
Area of a circle:
[tex]a = \pi {r}^{2} [/tex]
Area of circle, moved around so r is by itself:
[tex]r = \sqrt{ \frac{a}{\pi} } [/tex]
Plugging in the numbers:
[tex]r = \sqrt{ \frac{456.16}{\pi} } \\ r = 12.05[/tex]
We have found the radius. Now we plug our radius into the circumference formula:
Circumstance Formula:
[tex]c = 2 \times \pi \times r[/tex]
Plugging in our numbers:
[tex]c = 2 \times \pi \times 12.05 \\ c = 75.71ft[/tex]
Notice, all of the answers are in meters. We will need to convert our circumference in feet (75.71 ft) to meters to get the correct answer.
[tex]1 \: meter = 3.28 \: ft[/tex]
[tex]75.71 \: ft \times \frac{1m}{3.28 \: ft} = \frac{75.71}{3.28} = 23.08m[/tex]
The correct answer should be B.
