w3resource

Python: Test if circumference of two circles intersect or overlap

Python Basic - 1: Exercise-45 with Solution

There are two circles C1 with radius r1, central coordinate (x1, y1) and C2 with radius r2 and central coordinate (x2, y2)

Write a Python program to test the followings -
  • "C2 is in C1" if C2 is in C1
  • "C1 is in C2" if C1 is in C2
  • "Circumference of C1 and C2 intersect" if circumference of C1 and C2 intersect, and
  • "C1 and C2 do not overlap" if C1 and C2 do not overlap.

Input:
Input numbers (real numbers) are separated by a space.

Pictorial Presentation:

Python: Test if circumference of two circles intersect or overlap

Sample Solution:

Python Code:

import math
print("Input x1, y1, r1, x2, y2, r2:")
x1,y1,r1,x2,y2,r2 = [float(i) for i in input().split()]
d = math.sqrt((x1-x2)**2 + (y1-y2)**2)
if d < r1-r2:
    print("C2  is in C1")
elif d < r2-r1:
    print("C1  is in C2")
elif d > r1+r2:
    print("Circumference of C1  and C2  intersect")
else:
    print("C1 and C2  do not overlap")

Sample Output:

Input x1, y1, r1, x2, y2, r2:
 5 6 4 8 7 9
C1  is in C2

Flowchart:

Flowchart: Python - Test if circumference of two circles intersect or overlap

Python Code Editor:

Have another way to solve this solution? Contribute your code (and comments) through Disqus.

Previous: Write a Python program to find the maximum sum of a contiguous subsequence from a given sequence of numbers a1, a2, a3, ... an. A subsequence of one element is also a continuous subsequence.
Next: Write a Python program to that reads a date (from 2016/1/1 to 2016/12/31) and prints the day of the date. Jan. 1, 2016, is Friday. Note that 2016 is a leap year.

What is the difficulty level of this exercise?



Inviting useful, relevant, well-written and unique guest posts