Let's analyze the statement given in the question:
"A radius is a segment that connects any point on the circle to any point inside of that circle."
To understand why this statement is incorrect, we should clarify the definition of a radius.
A radius is defined as a line segment that connects the center of a circle to any point on the circumference of the circle. This means the following:
1. One end of the radius is located at the exact center of the circle.
2. The other end of the radius is located at any point on the circumference (the outer edge) of the circle.
The given statement suggests that a radius can connect any point on the circle to any point inside the circle, but this is not correct by definition.
Thus, the statement in the question is false.
Therefore, the correct answer is:
B. False
