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13 Ιουλ 2022 · Given the triangle inscribed in an N-sided regular polygon with given side length, formed using any 3 vertices of the polygon, the task is to find the area of this triangle. Examples: Input: N = 6, side = 10 Output: 129.904 Input: N = 8, side = 5 Output: 45.2665 Approach: Consider the 1st example: Given is a 6 sided regular polygon ABCDEF with a tr
The shoelace formula, also known as Gauss's area formula and the surveyor's formula, [1] is a mathematical algorithm to determine the area of a simple polygon whose vertices are described by their Cartesian coordinates in the plane. [2]
7 Οκτ 2019 · The Shoelace Algorithm to find areas of polygons. This is a nice algorithm, formally known as Gauss’s Area formula, which allows you to work out the area of any polygon as long as you know the Cartesian coordinates of the vertices.
28 Ιουν 2014 · This is much simpler, for regular polygons: import math def area_polygon(n, s): return 0.25 * n * s**2 / math.tan(math.pi/n) since the formula is ¼ n s2 / tan(π/n). Given the number of sides, n, and the length of each side, s
15 Οκτ 2024 · Given the n + 1 vertices x[0], y[0] .. x[N], y[N] of a simple polygon described in a clockwise direction, then the polygon's area can be calculated by: abs( (sum(x[0]*y[1] + ... x[n-1]*y[n]) + x[N]*y[0]) - (sum(x[1]*y[0] + ... x[n]*y[n-1]) + x[0]*y[N]) ) / 2
A method for finding the area of any polygon - regular, irregular, convex, concave if you know the coordinates of the vertices.
5 ημέρες πριν · The shoelace formula, also known as Gauss's area formula, the shoelace algorithm, shoelace method, or surveyor's formula, is a name sometimes given to the polygon area formula for the area of a simple polygon in terms of the Cartesian coordinates of its vertices (x_1,y_1), ..., (x_n,y_n).
