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.

Step-by-step

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.

fwms@lil_ben06

step-by-step explanation: