I may be wrong, but since a an oval has no sides, like a circle, then it should have and infinite number. I think any shape that has no sides, angles, corners, etc. has an infinite number. (This applies to 2D figures)
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zeros has infinite muber of significant figures.
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.
A circle
A circle can be a polygon. Sometimes a circle can be a polygon that has infinite number of sides.