To solve this problem, we need to determine how far a race car travels around a circular racetrack that has a radius of 2,016 feet. The distance around a circular track is called the circumference.
The formula for the circumference [tex]\( C \)[/tex] of a circle is given by:
[tex]\[ C = 2 \pi r \][/tex]
where [tex]\( r \)[/tex] is the radius of the circle.
In this problem, the radius [tex]\( r \)[/tex] is 2,016 feet. Substituting the value of the radius into the formula, we have:
[tex]\[ C = 2 \pi \times 2,016 \][/tex]
Simplifying this expression:
[tex]\[ C = 4,032 \pi \][/tex]
To match with the options given in the question, it's clear that none of the options exactly fit the value we calculated. Therefore, with the accurate result, the exact answer given does not match any of the provided choices, thus we would derive that no direct choice is correct.
However, if translating in numeric value, from the circumference calculation we have an accurate result of 12,666.901579274047 feet.
None of the choices A, B, C, or D would be correctly chosen directly.
