Question

question 3 of 10
if the blue radius below is perpendicular to the green chord and the segment (overline{ab}) is 8.5 units long, what is the length of the chord?

a. 8.5 units
b. 4.25 units
c. 34 units
d. 17 units

Explanation:

Step1: Recall circle chord theorem

A radius perpendicular to a chord bisects the chord.

Step2: Calculate chord length

Since $\overline{AB} = 8.5$, the chord $\overline{AC} = 2 \times \overline{AB}$
$\overline{AC} = 2 \times 8.5 = 17$

Answer:

D. 17 units