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Mar 7, 2024 · To find out how many diagonals a polygon has, first count the number of sides, or straight lines, that make up the polygon. Then, subtract 3 from the number of sides. Next, multiply that number by the number of sides.
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Diagonals of Polygons. A polygon 's diagonals are line segments from one corner to another (but not the edges). The number of diagonals of an n-sided polygon is: n (n − 3) / 2. Examples: a square (or any quadrilateral) has 4 (4−3)/2 = 4×1/2 = 2 diagonals. an octagon has 8 (8−3)/2 = 8×5/2 = 20 diagonals.
Aug 3, 2023 · How to find the number of diagonals in a polygon with formula. Also find out how many diagonals are there in a polygon
Diagonals are the straight lines that connect two vertices of a polygon or a solid, whose vertices are non-adjacent. Number of diagonals of different shapes varies along with its length formulas. Learn more at BYJU'S.
A diagonal of a polygon is a line segment joining two vertices. From any given vertex, there is no diagonal to the vertex on either side of it, since that would lay on top of a side. Also, there is obviously no diagonal from a vertex back to itself. This means there are three less diagonals than there are vertices.
Calculate the diagonal lengths of any polygon with our Polygon Diagonal Calculator, ideal for geometry problems involving polygons.
Mar 26, 2016 · You know what the formula for the number of diagonals in a polygon is, and you know that the polygon has 90 diagonals, so plug 90 in for the answer and solve for n: Thus, n equals 15 or –12. But because a polygon can’t have a negative number of sides, n must be 15. So you have a 15-sided polygon (a pentadecagon, in case you’re curious).
