Is there an accepted correct answer in geometry? In our case, we have n which is becoming infinity. There are always simple and practical explanations for these questions, even if it did take me years to figure it out. Thanks for your answer, by the way. While here, no mention of the term. The reader is responsible for discerning the validity, factuality or implications of information posted here, be it fictional or based on real events.
This is missing in the article and the images. So, infinity is the extreme case where our everyday logic breaks down, and you have an infinite series of infinite straight lines at every infinitessimal point. This violates a criterion of a circle, because not all no matter how small the difference i … s radii are equidistant from the center. We believe this constitutes a 'fair use' of any such copyrighted material. The point is center of circle and distance is called radius. At a party this past weekend full of mathematicians and philosophers, it was a fun game to first ask a mathematician the question, who invariably made various objections and refusals and and said it made no sense and so on, and then the non-mathematical spouse would forthrightly give a completely clear account.
I will think more about it later, since i have other problems to solve first. This article is not so much about poetic metaphor or thesaurus-like things, so I took out and. If the definition is line segment joining two vertices then the answer would be 0 for the circle. I still have a problem with it, using Internet Explorer, doesn't show right at all and all I see is a buncha' dots in the rough shape of a circle. There's a at Math Forum. Any cross-section of a sphere is a circle. How many sides does the circle have? A chord or the length of a chord which passes through the exact center of the circle is called a diameter , which is the longest-length chord possible for a circle.
The various secant laws are described using points that do not correspond to the figure. Finally, define a rank stratum of as a connected component of the set of all points of rank. One million sides is basically indistinguishable from one billion sides, or larger than that, or all of the numbers inbetween. For instance, the perimeter of a circle is called the circumference. My son is in 2nd grade. Well, This Is A Toughie! Lots of people have landed on our website looking for the answer of this riddle. Perhaps there could be a section on the properties of non-Euclidean circles.
Higher than that, it will be indistinguishable from a circle in our perception. The chiliagon for all of our practical usages, is a perfect circle. I start the lesson with a problem of the day to help students review skills and concepts from prior lessons and develop their ability to problem solve. And then the answer is obviously 0. How many parallel instances are there across Wikipedia? Not really a definition either, of course, but something that might convince a child or an adult that it actually does mean something as well as linking the concept of a circle to other concepts that are just as vaguely defined, but hopefully more familiar. We end up with a paradox; because the circle, and the endless straight line are supposed to be the same object! Please check for errors, this was a half-a-minute post, so there may be bugs.
Though the notion of side is not as good. We might contact you from time to time regarding your purchases or the services like forums and announcement lists you have subscribed to. Example: appearance of the Moon in the sky. Don't get caught up in how they are what they are for today , just keep up with which is which. Since the radius is fixed in the circle, then at any given angle, the same radius length from the center, you will find a point, which will magnify to an infinite line.
The equation given is correct, and is in agreement with the example you give. If this leads to incorrect or non-standard usage, please revert, but it would be best if the text and the equation use the same variant of the phi character for those of us not overly familiar with the Greek alphabet or the standard mathematical usages. At a party this past weekend full of mathematicians and philosophers, it was a fun game to first ask a mathematician the question, who invariably made various objections and refusals and and said it made no sense and so on, and then the non-mathematical spouse would forthrightly give a completely clear account. Each angle formed by adjacent radii meeting at the center will be 60°, and the other two angles will add up to 180-60, or 120. Prior to clean up, I check in with each table to see how the centers are going. In this case, two points separated by any degree would really not even be connected to each other.
Considering the number of places where the difference is noted I'd have though the difference was notable in itself, I'd go with for this particular case anyway even if there is something saying otherwise. For the homework, my son wrote an explanation giving the answers above, but also explaining that there was a sense in which some of the answers were infinite, depending on what was meant. They used this critical thinking foundation to explore a variety of two-dimensional shapes. I don't really see the point of extending this definition beyond the piecewise-linear case. There wouldn't be much point in learning about circles if they didn't have some relevance to everyday life. Ideally, each page would refer to another, locked page with the correct formulas and interpretive references within some chain of articles alongside. So it seems, evidently, that our extensive mathematical training has interfered with our ability to grasp easily what children and non-mathematicians find to be a clear and distinct geometrical concept.
The circle is made to be infinity, rather than simply assigning it as 1,000 or 1,000,000 sides, because it is only a hypothetical concept. A straight line between any two points of a circle is called a chord. Two circles having center points and radius known. Your ability to answer such questions is not necessarily related to any objective measure of intelligence: it correlates with being familiar with certain examples of such questions and more generally with being raised in a culture where such questions exist. And this is one line.