Question

question 5 of 10
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. 30.4 units
b. 7.6 units
c. 15.2 units
d. 3.8 units

Explanation:

Step1: Recall circle - chord property

A radius perpendicular to a chord bisects the chord. So if the radius is perpendicular to chord $\overline{AC}$ at point $B$, then $AB = BC$.

Step2: Calculate chord length

Given $BC=7.6$ units. Since $AC = AB + BC$ and $AB = BC$, then $AC=2\times BC$. Substituting the value of $BC$, we get $AC = 2\times7.6=15.2$ units.

Answer:

C. 15.2 units