(a) A radius is a segment that joins the center of a circle to a point on the circle
From the diagram, the radius is:
[tex]\bar{FE}[/tex](b) A diameter is a segment that passes through the center of the circle and joins two points on a circle.
From the diagram, the diameter is:
[tex]\bar{GJ}[/tex](c) A chord is a segment that does not pass through the center of the circle and joins two points on a circle.
From the diagram, the chord is:
[tex]\bar{HI}[/tex](d) The relation between the lengths of the radius and the diameter is:
[tex]\text{diameter = }2\cdot radius[/tex]From items a and b:
[tex]\bar{GJ}=2\bar{FE}[/tex]Substituting with FE = 10 units:
[tex]\begin{gathered} \bar{GJ}=2\cdot10 \\ \bar{GJ}=20\text{ units} \end{gathered}[/tex]