If chord is 3 inches from the center and chord is 5 inches from the center of the same circle, then chord CD is the longer chord.

Question

Mathematics

Ruby Daugherty

14 June, 05:54

If chord is 3 inches from the center and chord is 5 inches from the center of the same circle, then chord CD is the longer chord.

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Answers (1)

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Quinton Odonnell · Answer 1

Step-by-step answer:

We know that for a given circle of radius R, the longest chord is the diameter, which is at 0 distance from the centre.

As we move the chord away from the centre, the chord length diminishes, up to at a distance R from the centre, the chord length is zero.

Therefore, the chord at 3 inches from the centre is longer than that at 5, assuming the radius is 5 inches or more.