Maggie wants to plant a circular flower bed within a triangular area offset by three pathways. Which point of concurrency related to triangles would she use for the center of the largest circle that would fit inside the triangle?

A. none of these
b. orthocenter
c. incenter
d. circumcenter

Question

Maggie wants to plant a circular flower bed within a triangular area offset by three pathways. Which point of concurrency related to triangles would she use for the center of the largest circle that would fit inside the triangle?

A. none of these
b. orthocenter
c. incenter
d. circumcenter

anonymous · Answer

I would say d, the circumcenter. Because you're, of course, working with a triangular area, but also, the flower bed is to be circular. And the only way to fit it in the triangle only makes sense to choose d.