Circle's degrees cannot are not comparative to all polygon's?

  • Thread starter Mattius_
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In summary, degrees in a circle are measured from the center, while degrees in a square are measured from the points at which lines intersect. This is because polygons are given their degree labels at all sides facing the middle, not away. This can be seen by arranging 4 squares to intersect at a single corner and drawing a circle around the corner, which results in degrees in a square's angle. It is also worth considering that a circle's degrees are measured by the distance it puts away from its center, which may be confusing to understand.
  • #1
Mattius_
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Ok, degrees measured in a circle are measured from the center, the inside. A square's, for example, is not measured from the center; if this were the case, all polygons would be 360 degrees. Polygons are measured from the points at which lines intersect, making the degrees given to a circle, and the degrees given to a square different. Polygons are given their degree labels at all sides facing the middle, not away.

Any other thoughts on this, other than my learning disabilities?
 
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  • #2
Arrange 4 squares such that they all intersect at a single corner.

Draw a circle around said corner.

Voila, degrees in a square's angle.

cookiemonster
 
  • #3
Yes ofcourse and so does any other tesselation when combined, but doesn't it strike anyone that a circle is measured by the degress it puts away from its center?
 
  • #4
Mattius_ said:
Yes ofcourse and so does any other tesselation when combined, but doesn't it strike anyone that a circle is measured by the degress it puts away from its center?


What strikes me is that I don't understand that sentence in the slightest. How does something 'put' things anywhere, especially *its* degrees?
 

1. Why can't a circle's degrees be compared to all polygons?

A circle does not have angles like polygons do. Instead, it has a continuous curve, making it difficult to measure degrees in the same way as polygons.

2. Can't we just measure the central angle of a circle and compare it to the interior angles of a polygon?

While we can measure the central angle of a circle, it does not provide an accurate comparison to the interior angles of a polygon. The interior angles of a polygon are fixed and can be easily compared, whereas the central angle of a circle is constantly changing as the circle is rotated or resized.

3. What other methods can we use to compare a circle's degrees to a polygon's?

There are alternative methods for comparing a circle's degrees to a polygon's, such as using radians or arc length. However, these methods still do not provide an accurate comparison as they are specific to circles and cannot be applied to polygons.

4. Is there any relationship between a circle's degrees and a polygon's degrees?

No, there is no direct relationship between a circle's degrees and a polygon's degrees. They are two separate concepts and cannot be compared in the same way.

5. Can we use degrees to measure a curved line within a polygon?

No, degrees are used to measure angles within a polygon, not curved lines. A curved line within a polygon can be measured using other methods, such as arc length or curvature.

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