Question

question 8 of 10
if the blue radius below is perpendicular to the green chord and the segment
\\( \overline { a b } \\) is 6 units long, what is the length of the chord?
a. 3 units
b. 12 units
c. 18 units
d. 6 units

Explanation:

Step1: Apply the perpendicular - radius - chord theorem

The theorem states that a radius perpendicular to a chord bisects the chord.

Step2: Calculate the length of the chord

Since \(AB = 6\) units and the radius \(OB\) (not labeled in the problem description but based on the theorem, the radius perpendicular to the chord bisects it), the length of the chord \(AC\) is \(2\times AB\). So, \(AC=2\times6\).

Answer:

B. 12 units