Yes, you can fold a circle in half in various ways by selecting different diameters or lines of symmetry. Each fold can involve different angles and placements of the fold line, leading to multiple unique folding methods. While the basic concept of folding in half suggests two equal parts, the variations in approach can create more than 15 distinct methods. However, the fundamental outcome remains the same: the circle is divided into two equal halves.
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No, you cannot fold a circle into halves more than 15 times. Theoretically, each fold doubles the number of sections, but practical limitations arise due to the increasing thickness and reduced size of the folded material. In reality, after about 7 or 8 folds, the material becomes too thick and small to fold effectively. Thus, achieving more than 15 folds is not feasible.
It's five and a halve
Different people use different strategies. Some would divide by two (halve the number) and do that again for division by four. And one more time for division by eight. I find that I can do long divisions quickly and accurately so that is the way I choose.
Half circle plus quarter circle is equal to three-fourths of a circle. Three-fourths of a circle plus one eighth of a circle is seven-eighths. You still need one more eighth to complete the circle.
Look a circle has an infinite or you can say uncountable of sides, which means that it has an infinite number of corners as well. If you take one section of the circle, it will look curved. But as you zoom in, it will look less curved, and eventually you will have linearity. That is where the sides come from. As proof, look at a decagon (10 sides). It is starting to look round. As you add more and more sides to a polygon, it starts to look more and more like a circle. If you had a polygon with 1000 sides, would you be able to distinguish the different sides?