Question

question 8 of 10 if the blue radius below is perpendicular to the green chord and the segment $overline{bc}$ is 8.7 units long, what is the length of the chord? a. 4.35 units b. 8.7 units c. 17.4 units d. 34.8 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 $BC = 8.7$ units, and $AC=AB + BC$. Since $AB = BC$, then $AC=2\times BC$. So $AC = 2\times8.7=17.4$ units.

Answer:

C. 17.4 units