Question

is perpendicular to (overline{ab}). what is the length of (overline{ab})?
diagram: circle with points a, c, b on a horizontal line (diameter), ac = 4.4 units, point o below c with segment oc perpendicular to ab
options:
a. 4.4 units
b. 2.2 units
c. 8.8 units
d. 13.2 units

Explanation:

Step1: Identify the segment properties

Since \( OC \) is perpendicular to \( AB \) and \( C \) is on \( AB \), \( C \) is the midpoint of \( AB \) (a line from the center perpendicular to a chord bisects the chord). So \( AC = CB \).

Step2: Calculate the length of \( AB \)

Given \( AC = 4.4 \) units, then \( AB=AC + CB = 4.4+4.4 = 8.8 \) units.

Answer:

C. 8.8 units