Answer :
To determine how many feet the race car traveled, we need to find the distance it covered while traveling around the circular track from point \( B \) to point \( C \). The distance the car travels around a circular track is the circumference of the circle.
The formula for the circumference \( C \) of a circle is given by:
[tex]\[ C = 2 \pi r \][/tex]
where \( r \) is the radius of the circle.
In this problem, the radius \( r \) of the racetrack is given as 2,016 feet. Plugging this value into the formula, we get:
[tex]\[ C = 2 \pi \times 2016 \][/tex]
This simplifies to:
[tex]\[ C = 4032 \pi \][/tex]
Since the provided multiple-choice options expect the distance in the form of \( \text{radius} \pi \):
A. \( 3,016 \pi \)
B. \( 1,456 \pi \)
C. \( 2,016 \pi \)
D. \( 2,456 \pi \)
Given this, we turn our attention to the correct numerical expression matching our calculation:
[tex]\[ C = 2,016 \pi \][/tex]
So, the race car traveled \( 2,016 \pi \) feet around the circular track.
Hence, the correct answer is:
[tex]\[ \boxed{2,016 \pi} \][/tex]
The formula for the circumference \( C \) of a circle is given by:
[tex]\[ C = 2 \pi r \][/tex]
where \( r \) is the radius of the circle.
In this problem, the radius \( r \) of the racetrack is given as 2,016 feet. Plugging this value into the formula, we get:
[tex]\[ C = 2 \pi \times 2016 \][/tex]
This simplifies to:
[tex]\[ C = 4032 \pi \][/tex]
Since the provided multiple-choice options expect the distance in the form of \( \text{radius} \pi \):
A. \( 3,016 \pi \)
B. \( 1,456 \pi \)
C. \( 2,016 \pi \)
D. \( 2,456 \pi \)
Given this, we turn our attention to the correct numerical expression matching our calculation:
[tex]\[ C = 2,016 \pi \][/tex]
So, the race car traveled \( 2,016 \pi \) feet around the circular track.
Hence, the correct answer is:
[tex]\[ \boxed{2,016 \pi} \][/tex]
