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Question

Is a circled made of infinite straight lines?

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Solution

No. A circle has no straight line segment. None at all. It’s a curve.

What you’re thinking of is that a circle and a regular polygon with many sides are very similar, so similar, that if the number of sides is very large, then you can’t tell the difference between them with your eye. Nonetheless, they are different.

Yet, if you take the limit as the number of sides increases to infinity, then the polygon approaches the circle, and the limit of these polygons is the circle.

Every one of those polygons is composed of straight line segments, but their limit, the circle, has no line segments.

Hope this helps :)


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