The coordinates of a polygon can be represented as a list of tuples: [(x1, y1), (x2, y2), ..., (xn, yn)], where (x1, y1), ..., (xn, yn) are points of the polygon in a counterclockwise order. Find the area of such a polygon using using shoelace formula. It is no longer required to take absolute value. n-1 n-1 1 A = 2 (Σ (Σ XiYi+1 ) Xi+1Yi) - x1Yn i=1 i=1 142 +x2Y3 +...+ xn-1Yn + xny1 - x2Y1 - 23Y2 - .. Xn Yn-1 – x1Yn >>> area([(0,0),(1,0),(0,1)]) 0.5 >> area([(0,0),(1,0),(1,1),(0,1)]) 1.0 >> area([(0,0),(2,0),(2,2),(1,2), (0,1)]) 3.5 Write the function area(C) to find the area of a triangle with vertices at C [(x1, y1), (x2, y2),..., (xn, yn)]. 1/2
The coordinates of a polygon can be represented as a list of tuples: [(x1, y1), (x2, y2), ..., (xn, yn)], where (x1, y1), ..., (xn, yn) are points of the polygon in a counterclockwise order. Find the area of such a polygon using using shoelace formula. It is no longer required to take absolute value. n-1 n-1 1 A = 2 (Σ (Σ XiYi+1 ) Xi+1Yi) - x1Yn i=1 i=1 142 +x2Y3 +...+ xn-1Yn + xny1 - x2Y1 - 23Y2 - .. Xn Yn-1 – x1Yn >>> area([(0,0),(1,0),(0,1)]) 0.5 >> area([(0,0),(1,0),(1,1),(0,1)]) 1.0 >> area([(0,0),(2,0),(2,2),(1,2), (0,1)]) 3.5 Write the function area(C) to find the area of a triangle with vertices at C [(x1, y1), (x2, y2),..., (xn, yn)]. 1/2
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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