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There are an infinite number of radii in a circle.
There are an infinite number of points on the circumference of a circle and an infinite number of points on a semi-circle so the answer to your question is "An infinite number of pairs of points."
Generally, no. All circles contain an infinite number of chords, as a chord can be created between any two points on the circle. With an infinite number of points on the circle we can create an infinite number of chords.
The sum of two radii of a circle is the same as the diameter of the circle.
Yes. All radii of the same circle have the same length.