Question

if the blue radius below is perpendicular to the chord \\(\overline{ac}\\), which is 14 units long, what is the length of the segment \\(\overline{ab}\\)? \\(\bigcirc\\) a. 14 units \\(\bigcirc\\) b. 7 units \\(\bigcirc\\) c. 3.5 units \\(\bigcirc\\) d. 28 units

Explanation:

Step1: Recall circle chord theorem

A radius perpendicular to a chord bisects the chord.

Step2: Calculate segment length

$\overline{AB} = \frac{\overline{AC}}{2} = \frac{14}{2}$

Answer:

B. 7 units