Question

g is shown in the figure below.
(a) name a radius:
(b) name a diameter:
(c) name a chord:
(d) if the length of \\( \overline { o j } \\) is 4 units,
what is the length of \\( \overline { h i } \\) units

Explanation:

Step1: Recall the definition of radius

A radius is a line segment from the center of the circle to a point on the circle. So, \( OJ\) (or \( OH\), \( OI\)) is a radius.

Step2: Recall the definition of diameter

A diameter is a line segment passing through the center of the circle with both endpoints on the circle. So, \( IH\) is a diameter.

Step3: Recall the definition of chord

A chord is a line segment with both endpoints on the circle. So, \( LK\) (or \( IH\)) is a chord.

Step4: Calculate the length of the diameter

Given the radius \( OJ = 4\) units. The diameter \( d=2r\). Since \( r = 4\), then \( d=2\times4 = 8\) units.

Answer:

(a) \( OJ\) (or \( OH\), \( OI\))
(b) \( IH\)
(c) \( LK\) (or \( IH\))
(d) \( 8\) units