Question

A new car is tested on a 200m-diameter track. What is the distance traveled by the car in one complete lap?

a) 200 m
b) 400 m
c) 628 m
d) 1256 m

Answer 1

The distance traveled by a car in one complete lap around a 200m-diameter track is approximately 628 meters, using the formula for the circumference of a circle, C = 2πr.

Step-by-step explanation:

The distance traveled by a car in one complete lap around a 200m-diameter track can be found by calculating the circumference of the circle that forms the track. The formula for the circumference â„“ is C = 2πr, where π (pi) is approximately 3.14159 and r is the radius of the circle. Since the diameter is given as 200 meters, the radius would be half of that, which is 100 meters. Using the formula:

C = 2π × 100 m

C = 2 × 3.14159 × 100 m

C = 628 meters (approx.)

Therefore, the distance traveled by the car in one complete lap around the track is approximately 628 meters, which corresponds to answer option (c)