Question

which line is the radius?

Explanation:

Step1: Recall the definition of radius

A radius is a line segment from the center of a circle to any point on the circle.

Step2: Analyze each line segment

• $\overline{ZV}$: This is a diameter (a line segment passing through the center and connecting two points on the circle).
• $\overline{ZY}$: This is a chord (a line segment connecting two points on the circle but not passing through the center).
• $\overline{ZX}$: The center of the circle is \(X\), and \(Z\) is a point on the circle. So, \(\overline{ZX}\) is a radius as it connects the center \(X\) to a point \(Z\) on the circle.

Answer:

\(\overline{ZX}\)