Problem : In the following figure, decide whether a polygon is inscribed in a circle, circumscribed about a circle, or neither of these.

Neither

Problem : In the following figure, decide whether a polygon is inscribed in a circle, circumscribed about a circle, or neither of these.

Neither

Problem : In the following figure, decide whether a polygon is inscribed in a circle, circumscribed about a circle, or neither of these.

The polygon is inscribed in the circle.

Problem : In the following figure, decide whether a polygon is inscribed in a circle, circumscribed about a circle, or neither of these.

Neither

Problem : In the following figure, decide whether a polygon is inscribed in a circle, circumscribed about a circle, or neither of these.

The polygon is circumscribed about the circle.

Problem : What is the relationship between concentric circles with the same radius?

They are the same circle. A center and a radius is all it takes to define a circle, so if two circles share a center and have the same radius, they are identical.