Final answer:
Without the radius of the track's circular arc, we cannot calculate the angle's measure in radians for the 8.7 feet distance that the racecar travels.
Step-by-step explanation:
The question asks about the angle's measure in radians if a racecar travels 8.7 feet along the track. To find the angle in radians, we need to know the radius of the track's circular arc the car is following. Since the question provides a scenario involving Formula One race cars that do not relate directly to the calculation of the angle in radians, we cannot provide an accurate answer without additional information, specifically the track's radius.
However, if we knew the radius of the circular arc along which the racecar traveled, we could use the formula for arc length – s = rϴ – where s is the distance along the arc, r is the radius, and ϴ is the angle in radians. Rearranging the formula to solve for the angle, it would be given by ϴ = s/r.