To determine the correct answer for the question: "What's the name of the line segment that passes through the center of a circle and has both endpoints on the circle?", let's analyze the options provided:
A. Central angle:
- A central angle is an angle whose vertex is the center of the circle, and whose sides are radii extending to the circumference of the circle. It is not a line segment.
B. Diameter:
- The diameter of a circle is a line segment that passes through the center of the circle and has both endpoints on the circle. It is twice the length of the radius.
C. Circumference:
- The circumference is the distance around the circle. It is the perimeter of the circle, not a line segment.
D. Radius:
- The radius is a line segment with one endpoint at the center of the circle and the other endpoint on the circle. It is only half the length of the diameter and does not pass through both endpoints on the circle.
Given the definitions, the correct answer is:
B. Diameter
