Question

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

Explanation:

Step1: Recall circle chord property

In a circle, two chords that are equidistant from the center are congruent. Also, the distance from the center to a chord is the perpendicular length to the chord.

Step2: Match blue segment to known length

The blue segment is the perpendicular distance from center $L$ to chord $ME$, which is equal to the perpendicular distance from $L$ to chord $FA$, given as 7.74 units.

Answer:

C. 7.74 units