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Math circle problems in grade three
When two chords are on the same side of the center of the circle:

The distance between the long chord and the center of the circle.

D=√(5^2-4^2)=3

The distance between the short chord and the center of the circle.

D=√(5^2-3^2)=4

Then the distance between the two chords is 1.

When two chords are located on different sides of the center of the circle:

The distance between the long chord and the center of the circle.

D=√(5^2-4^2)=3

The distance between the short chord and the center of the circle.

D=√(5^2-3^2)=4

The distance between the two chords is 7.