Question

question 9 of 10 what is the length of chord $overline{st}$ in $odot p$ below?

Explanation:

Step1: Recall chord - distance property

In a circle, if two chords are equidistant from the center of the circle, then the chords are congruent.

Step2: Identify equidistant chords

Chord $\overline{QR}$ and chord $\overline{ST}$ are equidistant from the center $P$ of the circle as the perpendicular distances from $P$ to $\overline{QR}$ and $\overline{ST}$ are both $3.2$.

Step3: Determine chord length

Since chord $\overline{QR}$ has a length of 7 units and $\overline{QR}\cong\overline{ST}$, the length of chord $\overline{ST}$ is 7 units.

Answer:

B. 7 units