Question

question 3 of 10
if the blue radius below is perpendicular to the chord $overline{ac}$, which is 16 units long, what is the length of the segment $overline{ab}$?
a. 8 units
b. 32 units
c. 16 units
d. 4 units

Explanation:

Step1: Recall the property of a radius perpendicular to a chord

A radius perpendicular to a chord bisects the chord.

Step2: Calculate the length of $\overline{AB}$

Since $\overline{AC}=16$ units and the radius bisects the chord $\overline{AC}$, then $AB=\frac{1}{2}AC$. So $AB = \frac{16}{2}=8$ units.

Answer:

A. 8 units