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? a. 3 units b. 18 units c. 12 units d. 6 units

Explanation:

Step1: Recall circle - chord property

A radius perpendicular to a chord bisects the chord.

Step2: Calculate chord length

Since $\overline{AB}=6$ units and the radius bisects the chord $AC$, then $AC = 2\times AB$. So $AC=2\times6 = 12$ units.

Answer:

C. 12 units