Question

if the blue radius below is perpendicular to the green chord and the segment $overline{bc}$ is 6.8 units long, what is the length of the chord? a. 3.4 units b. 27.2 units c. 13.6 units d. 6.8 units

Explanation:

Step1: Recall circle - chord property

A radius perpendicular to a chord bisects the chord.

Step2: Calculate chord length

Since $BC = 6.8$ units and the radius bisects the chord $AC$, then $AC=2\times BC$. So $AC = 2\times6.8=13.6$ units.

Answer:

C. 13.6 units