Question

question 5 of 10
if the blue radius below is perpendicular to the green chord and the segment
\\( \overline { b c } \\) is 6.8 units long, what is the length of the chord?
a. 13.6 units
b. 6.8 units
c. 27.2 units
d. 3.4 units

Explanation:

Step1: Apply the perpendicular - radius - chord theorem

The perpendicular from the center of a circle to a chord bisects the chord. So if \(BC = 6.8\) units, and the radius \(OB\) is perpendicular to chord \(AC\), then \(AC=2\times BC\).

Step2: Calculate the length of the chord

Substitute \(BC = 6.8\) into the formula \(AC = 2\times BC\). We get \(AC=2\times6.8\).

Answer:

A. 13.6 units