Question

question 6 of 10
what is the length of chord (overline{vi}) in (odot c) below?

a. 9.3 units
b. 9.4 units
c. 4.7 units
d. 18.6 units

Explanation:

Step1: Recall chord distance theorem

In a circle, if two chords are equidistant from the center, they are congruent. Also, the perpendicular from the center bisects the chord.

Step2: Find half of chord $\overline{VI}$

The perpendicular segment from $C$ to $\overline{VI}$ is 4.7, matching the distance to $\overline{RA}$. The half-length of $\overline{RA}$ is 9.3, so the half-length of $\overline{VI}$ is also 9.3.

Step3: Calculate full length of $\overline{VI}$

Multiply the half-length by 2.
$\text{Length of } \overline{VI} = 9.3 \times 2$

Answer:

D. 18.6 units