Final answer:
The car takes approximately 50.2 seconds to make a lap around the track.
Step-by-step explanation:
To find the time it takes for the car to make a lap around the track, we can use the formula for the circumference of a circle: C = 2πr, where C is the circumference and r is the radius. In this case, the radius is 200 m, so the circumference is 2π(200) = 400π m. The car is traveling at a constant speed of 25 m/s, so we can divide the circumference by the speed to find the time: 400π m / 25 m/s = 16π s ≈ 50.2 s. Therefore, it takes the car approximately 50.2 seconds to make a lap around the track.