Question

if the blue radius below is perpendicular to the green chord and the segment \\(\overline{bc}\\) is 7.6 units long, what is the length of the chord?\
a. 7.6 units\
b. 15.2 units\
c. 3.8 units\
d. 30.4 units

Explanation:

Step1: Recall circle chord theorem

A radius perpendicular to a chord bisects the chord, so $AB = BC$.

Step2: Calculate chord length

Chord length $AC = AB + BC = 2 \times BC$
Substitute $BC = 7.6$: $AC = 2 \times 7.6 = 15.2$

Answer:

B. 15.2 units