Chords lie in the limited area of their respective circle so how can they be unlimited. They can be called uncountable but how infinite. If we keep on drawing the chords a point will come when all the chords will be drawn and you wouldn't be able to draw any more. So how infinite or endless?
How can a circle have infinite chords?
- Posted:
- 3+ months ago by Tummypaper
- Topics:
- lie, circle, infinite, area
Answers (1)
Infinite is defined as a number bigger than you can measure. If you only have a 12 in ruler then 13 inches is infinite.
finite - countable
infinite - not countable
Get the picture? Points on a line or circle are countable, but there is no limit to the number of points. A chord is a line between any two points on a circle, so the number of chords is limitless. Most people will call that infinite, and that's ok as long as you understand what's what. They are not the same thing.
Example: The longest ruler we have is the width of the Earth's orbit. By careful triangulation we can accurately measure distances out to about 3200 light-years. Beyond that is infinity. That is why lists of the biggest stars have large margins of error for bodies beyond 3200 light-years. But a lot of people will not accept any such limitation. They think they can get around all limits by their cleverness.