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

Question

question 9 of 10 if the blue radius below is perpendicular to the green chord and the segment $overline{ab}$ is 9 units long, what is the length of the chord? a. 27 units b. 18 units c. 9 units d. 4.5 units

Explanation:

Step1: Recall chord - radius property

A radius perpendicular to a chord bisects the chord.

Step2: Calculate chord length

Since $AB = 9$ units and the radius bisects the chord $AC$, then $AC=2\times AB$. So $AC = 2\times9=18$ units.

Answer:

B. 18 units