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Answer:
The distance from the center of the circle to the longer chord is twice smaller than the distance from the center to the shorter chord.
Step-by-step explanation:
The length of the chord AB is the same as the distance OC from the center to the cord. Let OC=2x, then CA=x. By the Pythagorean theorem, the radius r of the circle is
The length of the arc ED is 4x.
Consider right triangle EFO. In this triangle, EF=2x, EO=r, then the distance OF is
The distance from the center of the circle to the longer chord is twice smaller than the distance from the center to the shorter chord.
