Question

question 9 of 10 what is the length of chord $overline{vi}$ in $odot c$ below? a. 18.6 units b. 4.7 units c. 9.3 units d. 9.4 units

Explanation:

Step1: Recall chord - bisecting property

A perpendicular from the center of a circle to a chord bisects the chord. Here, the perpendiculars from the center \(C\) to chords \(\overline{AI}\) and \(\overline{VI}\) are shown. Since the segments from the center to the chord are equal on both sides of the chord \(\overline{VI}\) and the perpendicular from the center to \(\overline{AI}\) bisects \(\overline{AI}\), and the part of \(\overline{AI}\) on one - side of the center is \(4.7\) units.

Step2: Calculate length of chord \(\overline{VI}\)

The length of chord \(\overline{VI}\) is composed of two equal segments of length \(4.7\) units each. So, \(l(\overline{VI})=4.7 + 4.7=9.4\) units.

Answer:

D. 9.4 units