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question 15 of 25 oc is perpendicular to ab. what is the length of ab? …

Question

question 15 of 25
oc is perpendicular to ab. what is the length of ab?
a 4.4 units
b. 13.2 units
c. 8.8 units
d. 2.2 units

Explanation:

Step1: Recall circle - chord property

A perpendicular from the center of a circle to a chord bisects the chord.

Step2: Determine the length of the chord

Since the perpendicular from the center \(O\) to chord \(\overline{AB}\) (i.e., \(\overline{OC}\)) bisects \(\overline{AB}\), and \(AC = 4.4\) units, then \(AB=2\times AC\).
\[AB = 2\times4.4=8.8\]

Answer:

C. 8.8 units