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Select the correct answer.

A circular racetrack has a radius of 2,016 feet. A race car starts at point B and travels counterclockwise around the track to point C. How many feet did the race car travel?

A. [tex]$3,016 \pi$[/tex]
B. [tex]$1,456 \pi$[/tex]
C. [tex]$2,456 \pi$[/tex]
D. [tex]$2,016 \pi$[/tex]

Sagot :

GinnyAnswer
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]
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