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If the chord is 5 cm, and the radius is 13 cm, a right triangle is formed between the lines. The hypotenuse of this right triangle is 13 cm, and one of the sides is 5 cm. We know that the second side is half of the chord distance. Therefore, we use the Pythagorean Theorem:

5^2 + b^2 = 13^2

25 + b^2 = 169

b^2 = 144

The square root of 144 is 12. Therefore, b = 12. However, this is only half of the chord length. Multiply 12 by 2 and you get 24. Therefore, 24 cm is the answer.

Hope that was helpful...it may have been hard to understand without a visual.

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Q: A chord is 5 centimeters from the center of a circle of radius 13 centimeters The length of the chord is?
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