Final answer:
When the radius of an asteroid's orbit around a planet is increased, the asteroid travels a greater distance in one full orbit. The increase in distance can be calculated using the formula for the circumference of a circle.
Step-by-step explanation:
When the radius of the orbit of an asteroid circling planet Zeno is increased by 5 miles, the asteroid travels a greater distance in one full orbit.
To calculate how much farther the asteroid travels, we can use the formula for the circumference of a circle: C = 2πr. If the radius is increased by 5 miles, the new radius would be (r + 5). Therefore, the new distance traveled in one full orbit would be 2π(r + 5). To find the difference between the new distance and the original distance, we can subtract the original distance (2πr) from the new distance. So, the asteroid travels 2π(r + 5) - 2πr = 10π miles farther in one full orbit.