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question 9 of 10 if the blue radius below is perpendicular to the chord…

Question

question 9 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 $overline{ab}$?

Explanation:

Step1: Recall circle - chord property

A radius perpendicular to a chord bisects the chord.

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

Since $\overline{AC}=16$ units and the radius bisects $\overline{AC}$, then $\overline{AB}=\frac{1}{2}\overline{AC}=\frac{1}{2}\times16 = 8$ units.

Answer:

C. 8 units