Problem:
What is the maximum number for the possible points of intersection of a circle and a triangle?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The circle can intersect at most two points of each side of the triangle, so the number can be no greater than six. The figure shows that the number can indeed be .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions