The radius of a circle is 13 cm and the distance of its chord XY from centre is 12 cm. Then the length of that chord is?

The perpendicular drawn from the center of a circle to a chord bisects the chord, creating a right-angled triangle with the radius as the hypotenuse. Using the Pythagorean theorem, the half-length of the chord is the square root of (13 squared minus 12 squared), which equals the square root of (169 minus 144) or 5 cm. The full length of the chord XY is twice this half-length, making it 10 cm.

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