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A circle has an unlimited number of lines of symmetry. These lines are called the diameter. Why does a circle have an unlimited number of lines of symmetry? It's because a circle has a constant diameter regardless of where the diameter is measured from.
A circle
There are an infinite number of lines of symmetry in a circle, as any diameter will be a line of symmetry and there are an infinite number of angle measure for that line to pass through.
A circleA circle
Three dimensional shapes, generally, don't have lines of symmetry, but a circle has an infinite number is symmetry lines. 3D shapes also don't have rotational symmetry either, but a circle has an infinite number of that as well.