(a) A segment that passes through the center of the circle and which endpoints lie on the circle represents the diameter of the circle. In circle S, the diameter is TW
(b) A segment which endpoints are the center of the circle and a point on the circle represents the radius of the circle. In circle S, the radius is SR
(c) A chord is a segment which endpoints are on the circle. In circle S, a chord is VU
(d) The relationship between the diameter and a radius of a circle is:
[tex]radius\text{ = }\frac{\text{diameter}}{2}[/tex]
In this case, TW is the diameter and SR is the radius, then:
[tex]SR=\frac{TW}{2}[/tex]
Substituting with TW = 6 units, we get:
[tex]\begin{gathered} SR=\frac{6}{2} \\ SR=3\text{ units} \end{gathered}[/tex]
