Questions tagged [polygons]

For questions on polygons, a flat shape consisting of straight lines that are joined to form a closed chain or circuit

In geometry a polygon is a flat shape consisting of straight lines that are joined to form a closed chain or circuit.

A polygon is traditionally a plane figure that is bounded by a closed path, composed of a finite sequence of straight line segments (i.e., by a closed polygonal chain). These segments are called its edges or sides, and the points where two edges meet are the polygon's vertices (singular: vertex) or corners. An $n$-gon is a polygon with $n$ sides. The interior of the polygon is sometimes called its body. A polygon is a $2$-dimensional example of the more general polytope in any number of dimensions.

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Regular polygon finding the circumference

Area of the 10 regular polygon is 770cm^2 and the gap between the parallel line is 30,8cm. Find its circumference. Yeah, I'm going to fail on this subject.
naaame
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How to find the area of a rhombus with two given side lengths and given height?

Link to the Rhombus: Rhombus with given side lengths of 11 and a height of 8 Edit: I just realized that this rhombus is a parallelogram so because the 8 inches is the height and that the 11 inches is the base, I can simply times the 8 inches by the…
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A, B, C,and D are consecutive vertices of a regular polygon, so $\frac{1}{AB}$ = $\frac{1}{AC}$ + $\frac{1}{AD}$ how many sides does the polygon have?

I let AB = 1, and letting AC = x, and AD = y set up 1 = $\frac{1}{x}$ + $\frac{1}{y}$ , multiplied to get xy = y + x, added 1, and got (x-1)(y-1) = 1 I know AC and AD are equal, but don't know how to get the number of sides of the polygon with this…
user978757
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Resolving an area of a polygon with sides known

If I have a polygon with the sides given, is it able to calculate the area of it? If yes, how many sides do I need to know at least? A formula is appreciated. I know how to get the area with a…
hello all
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The area is greater than that of the original polygon - Edit

In the book Methods of mathematical physics - Volume $1$ by Courant-Hilbert page $166$, it is indicated : Among all polygons which are not self-intersection and have an even number $2n$ sides and a given perimeter $2l$ find the one with the …
CHSLD
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There are ten dots on the sphere, how many polygons can be

Our teacher said this was a tricky question but I do not understand why. If I have a circle that has ten dots on it and I have to make as many polygons using those dots, the answer should be 10. Connecting each dot starting with triangle, to square,…
user510
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