Final answer:
The number of meters a contestant must travel in a 4-lap race on a circular course with a radius of R meters is 8πR.
Step-by-step explanation:
The number of meters a contestant must travel in a 4-lap race on a circular course with a radius of R meters can be found by calculating the circumference of the circle and multiplying it by the number of laps.
The circumference of a circle is given by the formula C = 2πR, where R is the radius. Therefore, the total distance traveled in the race is 4 times the circumference:
Distance = 4 × 2πR = 8πR meters.
So, the correct option is A, 8πR.