Question

what is the length of the blue segment in ⊙l below? a. 7.9 units b. 7.74 units c. 3.95 units d. 15.48 units

Explanation:

Step1: Recall circle - chord property

A line from the center of a circle perpendicular to a chord bisects the chord. Here, the blue - colored line segment is from the center \(L\) of the circle to the mid - point of the chord \(FA\) (or \(ME\)). The length of the chord \(FA = ME=7.9\) units, and the blue segment is the perpendicular distance from the center of the circle to the chord. The given value \(7.74\) is the length of the perpendicular from the center to the chord.

Answer:

B. 7.74 units