The value of equals the circumference of a circle with radius 1/2. Suppose we approximate the circumference by a polygon through n+1n+1 points on the circle. The length of this polygon can be found using the pathlength function from the previous exercise. Compute n+1n+1 points (xi,yi)(xi,yi) along a circle with radius 1/2 according to the formulae

Write a function circle_pts( n ) in Python which accepts a number of sides n and returns a pair of lists (as a tuple) containing the x and ycoordinates of the approximating polygon. You will need to include your working pathlength function from the previous exercise.

***Which I got :

from math import sqrt

def pathlength(x,y): n = len(x) lv = [sqrt((x[i]-x[i-1])**2 + (y[i]-y[i-1])**2) for i in range (1,n)] L = sum(lv) return L

Write a function approx_pi( n ) in Python for approximating by the path length LL resulting from the pairs of coordinate lists returned by circle_pts( n )

1 i=0, ,n