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Python: Compute the area of the polygon

Python Basic - 1: Exercise-59 with Solution

A convex polygon is a simple polygon in which no line segment between two points on the boundary ever goes outside the polygon. Equivalently, it is a simple polygon whose interior is a convex set. In a convex polygon, all interior angles are less than or equal to 180 degrees, while in a strictly convex polygon all interior angles are strictly less than 180 degrees.

Write a Python program that compute the area of the polygon . The vertices have the names vertex 1, vertex 2, vertex 3, ... vertex n according to the order of edge connections.

Input:
Input number of sides: 5
Side: 1
Input the Coordinate:
Input Coordinate x: 1
Input Coordinate y: 0
Side: 2
Input the Coordinate:
Input Coordinate x: 0
Input Coordinate y: 0
Side: 3
Input the Coordinate:
Input Coordinate x: 1
Input Coordinate y: 1
Side: 4
Input the Coordinate:
Input Coordinate x: 2
Input Coordinate y: 0
Side: 5
Input the Coordinate:
Input Coordinate x: -1
Input Coordinate y: 1
Area of the Polygon: 0.5

Python: Compute the area of the polygon rules

Pictorial Presentation:

Python: Compute the area of the polygon

Sample Solution:

Python Code:

def poly_area(c):
  add = []
  for i in range(0, (len(c) - 2), 2):
    add.append(c[i] * c[i + 3] - c[i + 1] * c[i + 2])
    add.append(c[len(c) - 2] * c[1] - c[len(c) - 1] * c[0])
    return abs(sum(add) / 2)
no_sides = int(input('Input number of sides: '))
cord_data = []
for z in range(no_sides):
    print("Side:",z+1)
    print("Input the Coordinate:")
    x = int(input('Input Coordinate x:'))
    y = int(input('Input Coordinate y:'))
    cord_data.append(x)
    cord_data.append(y)
print("\nArea of the Polygon:",poly_area(cord_data))

Sample Output:

Input number of sides:  5
Side: 1
Input the Coordinate:
Input Coordinate x: 1
Input Coordinate y: 0
Side: 2
Input the Coordinate:
Input Coordinate x: 0
Input Coordinate y: 0
Side: 3
Input the Coordinate:
Input Coordinate x: 1
Input Coordinate y: 1
Side: 4
Input the Coordinate:
Input Coordinate x: 2
Input Coordinate y: 0
Side: 5
Input the Coordinate:
Input Coordinate x: -1
Input Coordinate y: 1

Area of the Polygon: 0.5

Flowchart:

Flowchart: Python - Compute the area of the polygon

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Python: Tips of the Day

Iterating over dictionaries using 'for' loops:

I am a bit puzzled by the following code: d = {'x': 1, 'y': 2, 'z': 3} for key in d: print key, 'corresponds to', d[key] What I don't understand is the key portion. How does Python recognize ...

key is just a variable name.

for key in d:

For Python 3.x:

for key, value in d.items():

For Python 2.x:

for key, value in d.iteritems():

To test for yourself, change the word key to poop.

In Python 3.x, iteritems() was replaced with simply items(), which returns a set-like view backed by the dict, like iteritems() but even better. This is also available in 2.7 as viewitems().

The operation items() will work for both 2 and 3, but in 2 it will return a list of the dictionary's (key, value) pairs, which will not reflect changes to the dict that happen after the items() call. If you want the 2.x behavior in 3.x, you can call list(d.items()).

Ref: https://bit.ly/37dm0Qo