Question

if the blue radius below is perpendicular to the green chord and the segment \\(\overline{ab}\\) is 6 units long, what is the length of the chord? \\(\bigcirc\\) a. 3 units \\(\bigcirc\\) b. 6 units \\(\bigcirc\\) c. 18 units \\(\bigcirc\\) d. 12 units

Explanation:

Step1: Recall circle chord theorem

A radius perpendicular to a chord bisects the chord.

Step2: Calculate chord length

Since $AB = 6$, then $BC = AB = 6$. Chord length $AC = AB + BC = 6 + 6$

Answer:

D. 12 units