Two chords, PQ and RS, are equal in length and are at a distance of 12 cm from the center of a circle. If the radius is 20 cm, what is the length of PQ?

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1. A line from the center perpendicular to a chord bisects the chord.

2. Let radius $r=20$ cm and distance from center to chord $d=12$ cm. Half the chord is $\sqrt{r^2-d^2}$.

3. Compute: $\sqrt{20^2-12^2}=\sqrt{400-144}=\sqrt{256}=16$ cm.

4. Full chord length $=2	imes16=32$ cm.

FINAL_ANSWER: c

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