Question

question 3 of 10 what is the length of chord (overline{cd}) in (odot o) below? a. 8.02 units b. 16.04 units c. 4.01 units d. 8.31 units

Explanation:

Step1: Recall the property of chords and perpendiculars from the center.

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

Step2: Analyze the given figure.

The perpendicular from the center \(O\) to chord \(AB\) divides \(AB\) into two equal - length segments. Since the length of one of the segments of \(AB\) is \(8.02\) units, and the same perpendicular - bisector property applies to chord \(CD\) (if the perpendiculars from the center to both chords have the same length and the circles and chords are in similar geometric set - ups as implied by the symmetry of the problem presentation). Chord \(CD\) will have the same length as chord \(AB\).

Answer:

A. 8.02 units