Is there an infinite number of points on a circle?

Is there an infinite number of points on a circle?

Each has infinitely many points on its circumference, yet the outer circle, since it is bigger, seems to contain more points. Each time it passes through a point on the larger circle, it also passes through a point on the smaller circle. So, the two circles contain the same number of points, even though one is bigger!

Is a circle a square with infinite sides?

For a square and many familiar shapes the extreme points exactly coincide with the corners. Every point on the boundary of the circle is an extreme point, so it is certainly true that a circle has infinitely many.

Does a circle have infinite vertices or none?

A circle is approximated by a regular polygon with an infinite number of vertices, which are not necessarily “corners” since “corner” implies a right angle.

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Are there infinite points between two points?

Any segment with at least two points has infinitely many points, because, intuitively, given any two distinct points, there is a third one, distinct from both of them, say, the middle point. The concept of infinity is used for many different things, and one should not confuse them.

How many points does a square have?

Square
Edges and vertices 4
Schläfli symbol {4}
Coxeter–Dynkin diagrams
Symmetry group Dihedral (D4), order 2×4

Does a circle have zero sides or infinite sides?

If you think of it as a curve, then it has an inside and an outside. If you think of it as the limit of an n-sided regular polygon, then one can justify the answer that the circle has infinitely many infinitesimal sides.

Is a ray infinite?

A ray is a part of a line that has one endpoint and goes on infinitely in only one direction. You cannot measure the length of a ray.

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Is there such thing as infinite?

There are finite sets and infinite sets. Sets that have more elements than any natural number are infinite. The set of natural numbers is infinite. Two sets have the same cardinality if we can pair up everything from one set in the other with nothing left over.