Final answer:
The total distance run after three laps around a track with a radius of 30 meters is approximately 565.5 meters, calculated by finding the circumference of a circle with that radius and multiplying by the number of laps.
Step-by-step explanation:
To calculate the distance run by completing three laps around a track with a radius of 30 meters, we need to use the formula for the circumference of a circle which is C = 2πr, where C is the circumference, π (pi) is approximately 3.14159, and r is the radius of the circle. First, we calculate the circumference for one lap and then multiply by the number of laps.
Calculate the circumference (distance for one lap):
C = 2π(30m) = 60π m ≈ 188.5 meters.
Multiply by the number of laps:
188.5 meters/lap × 3 laps = 565.5 meters.
Therefore, after running three laps around the track, the runner will have covered a distance of approximately 565.5 meters.