Question

which line segment is a radius of circle f?
○ $overline{ac}$
○ $overline{be}$
○ $overline{ab}$
○ $overline{af}$

Explanation:

A radius of a circle is a line segment that connects the center of the circle to any point on its circumference. Circle F has center F, so we identify the segment with one endpoint at F and the other on the circle.

• $\overline{AC}$ connects two points on the circle, so it is a chord (not a radius).
• $\overline{BE}$ passes through the center and connects two points on the circle, so it is a diameter (not a radius).
• $\overline{AB}$ connects two points on the circle, so it is a chord (not a radius).
• $\overline{AF}$ connects center F to point A on the circle, so it fits the definition of a radius.

Answer:

$\boldsymbol{\overline{AF}}$