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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.
Between 2 distinct points, there are an infinite number of planes that can be drawn in 3 dimensions
Yes, there are an infinite number of decimal points between any two consecutive whole numbers.
Length is the measurement of distance between two points.