Question

A circle with center S is shown in the figure below.(a)R(b)(c)NTwS(d) IfVwhat

Answer 1

(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:

`radius\text{ = }\frac{\text{diameter}}{2}`

In this case, TW is the diameter and SR is the radius, then:

`SR=(TW)/(2)`

Substituting with TW = 6 units, we get:

`\begin{gathered} SR=(6)/(2) \\ SR=3\text{ units} \end{gathered}`