(Geometry: area of a regular polygon) A regular polygon is an n-sided polygon in which all sides are of the same length and all angles have the same degree (i. e., the polygon is both equilateral and equiangular). The formula for computing the area of a regular polygon is
area = (n * s^2) / (4 * tan(PI / n)
Here, s is the length of a side. Write a program that prompts the user to enter the number of sides and their length of a regular polygon and displays its area.
Sample Run
Enter the number of sides: 5
Enter the side: 6.5
The area of the polygon is 72.69017017488385
ANSWER SHOULD BE IN PYTHON CODING

Follows are the python code to this question:

import math as m #import package  

n=int(input('Enter the number of sides:'))#defining n variable for input number of side

s= float(input('Enter the side: '))#defining s variable for input side value

area = (s*s *n)/(4 * (m.tan(m.pi/n)))#defining formula for calcaulting area

print (area)#print area

Output:

please find the attached file.

Step-by-step explanation:

In the above code, firstly, we import the math package as m, and after that, two-variable "n and s" is defined, which uses for input integer and float value from the user end.

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step-by-step explanation:

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a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional