A chord of length 16 cm is at a distance of 6 cm from the center of a circle. What is the length of the radius?

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Accepted Answer

1. A radius drawn to a chord bisects the chord at right angle. So half the chord is $8\,$cm.

2. Form a right triangle with legs $6\,$cm (distance) and $8\,$cm (half chord), and hypotenuse $r$ (radius).

3. Use Pythagoras: $r^2=6^2+8^2=36+64=100$.

4. So $r=\sqrt{100}=10\,$cm. **Radius = 10 cm.**

FINAL_ANSWER: b

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