Question

Two parallel lines are located four inches apart. A circle with a diameter of 5 inches ia drawn in the same plane. What is the maximum number of intersections possible between the two parallel lines and the circle?

Answer 1

I have attached diagrams to visually illustrate five examples. The diagrams are labeled "figure 1" through "figure 5"

The possible number of intersections are: 

0 intersections (see figure 1)
1 intersection (see figure 2)
2 intersections (see figure 3)
3 intersections (see figure 4)
4 intersections (see figure 5)

Answer: 4