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The dent angle of a star polygon is the angle formed by the bent line between two points that form the point angles. I found a PDF that defines the way to calculate that dent angle and checked it out with a know star. It works:
For a star polygon with n points and 2n congruent sides and a point angle of A:
the dent angle B = (360/n) + A
So for an 8 pointed star with a point angle of 20 degrees, the formula says:
(360/8) + 20 = 65 degrees
Note that if the point angle is 135 degrees it is really no longer a star polygon because the two (otherwise bent) line between each of the 8 point becomes 180 degrees. The above formula also proves that Equally for an 8 pointed star polygon formed by joining each second point (forming two over lapped squares, the resultant dent angle becomes 135 degrees. Again the formula confirms that angle. Two home-runs feels pretty good!
The URL reference is:
teach.valdosta.edu/plmoch/MATH3162/Spring%202009/11-3.pdf
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∙ 14y ago
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Is a star a convex polygon?
No. In a convex polygon, all the internal angles are smaller than 180 degrees.
How many acute angles are in a 5 pointed star?
the answer is 5 each tip of the star is a acute angle and each angle on the inside of the star is an obtuse angle. there are 5 obtuse angles and no right angles.
Does a pentagram have 5 sides?
A pentagram is a five pointed star. A pentagon in a five sided polygon.
What shape has five sides and angles?
Pentagon
What is a polegon?
A polygon is a plane figure whose boundary is formed by straight lines. The simplest example is a triangle. A square, rectangle, kite, etc are common 4 sided polygons. Polygons can have angles that are greater than 180 degrees (reflex angles), so a 5 pointed star is a ten sided polygon. There is no limit to the number of sides a polygon can have. If all the sides and angles of a polygon have the same measures, it is called a regular polygon.
What angle does a star have?
It doesn't. It's a complex polygon with re-entrant sidesso has a number of angles depending on its shape.
Is a star a regular polygon?
Yes. A star is a regular polygon.
Why is a star not a polygon?
The star is a polygon, but not a simple one. It is not simple because parts of the lines forming its boundaries are inside the star. The outline of a star is a simple polygon.
What polygon has five points?
it becomes a Star polygon
Name which shape has equal sides?
Any regular polygon, by definition has equal sides and angles. Also Rhombus and Star see the link
Is a star a pollygon?
yes!, a star is a polygon
What does a concave polygon look like?
Easy answer: a star icon or the apple logo are examples of what a concave polygon looks like.A concave polygon has 1 interior angle greater than 180 degrees.you can see an example on:http://en.wikipedia.org/wiki/Convex_and_concave_polygonshttp://www.mathopenref.com/polygonconcave.html
Is star shape a polygon?
I do not no how about you find out what a polygon is then count the sides -A
What polygon is a star?
decagon
Would a star be an irregular polygon?
No. An irregular polygon is a polygon whose sides are pretty much out of control. They are usually not equal to any other one side. So, no, a star is actually a REGULAR polygon.
Is a star concave polygon?
Yes it is.
What kind of polygon's a star?
decagon
