Answer :
To solve the problem, we need to calculate the distance that the race car travels around a circular racetrack with a given radius. This distance is essentially the circumference of the circle. The formula for the circumference [tex]\(C\)[/tex] of a circle with radius [tex]\(r\)[/tex] is:
[tex]\[ C = 2 \pi r \][/tex]
Given:
- The radius [tex]\(r\)[/tex] of the racetrack is [tex]\(2,016\)[/tex] feet.
Hence, we can substitute the given radius into the formula to find the circumference:
[tex]\[ C = 2 \pi \times 2,016 \][/tex]
[tex]\[ C = 4,032 \pi \][/tex]
So, the race car travels [tex]\(4,032 \pi\)[/tex] feet around the track from point B to point C. This indicates that the correct answer among the given choices is:
D. [tex]\(4,032 \pi\)[/tex]
[tex]\[ C = 2 \pi r \][/tex]
Given:
- The radius [tex]\(r\)[/tex] of the racetrack is [tex]\(2,016\)[/tex] feet.
Hence, we can substitute the given radius into the formula to find the circumference:
[tex]\[ C = 2 \pi \times 2,016 \][/tex]
[tex]\[ C = 4,032 \pi \][/tex]
So, the race car travels [tex]\(4,032 \pi\)[/tex] feet around the track from point B to point C. This indicates that the correct answer among the given choices is:
D. [tex]\(4,032 \pi\)[/tex]
