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
- "C1 and C2 do not overlap" if C1 and C2 do not overlap and
- "Circumference of C1 and C2 will touch" if C1 and C2 touch
Input:
Input numbers (real numbers) are separated by a space.
Visual Presentation:
Sample Solution:
Python Code:
# Import the math module
import math
# Prompt the user to input x1, y1, r1, x2, y2, r2
print("Input x1, y1, r1, x2, y2, r2:")
# Take user input and convert it to floating-point numbers
x1, y1, r1, x2, y2, r2 = [float(i) for i in input().split()]
# Calculate the distance between the centers of the two circles
d = math.sqrt((x1 - x2)**2 + (y1 - y2)**2)
# Check and print the relationship between the two circles based on their radii and distance
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")
elif d == r1 + r2:
print("Circumference of C1 and C2 will touch")
else:
print("C1 and C2 do not overlap")
Sample Output:
Input x1, y1, r1, x2, y2, r2: 5 4 2 3 9 2 C1 and C2 do not overlap
Input x1, y1, r1, x2, y2, r2: 5 4 3 5 10 3 Circumference of C1 and C2 will touch
Input x1, y1, r1, x2, y2, r2: 6 4 3 10 4 2 Circumference of C1 and C2 intersect
Input x1, y1, r1, x2, y2, r2: 5 4 3 5 4 2 C2 is in C1
Input x1, y1, r1, x2, y2, r2: 5 4 2 5 4 3 C1 is in C2
Explanation:
Here is a breakdown of the above Python code:
- The code imports the "math" module.
- It prompts the user to input the coordinates and radii of two circles (x1, y1, r1, x2, y2, r2).
- It calculates the distance (d) between the centers of the two circles using the distance formula.
- The code checks the relationship between two circles based on their radii and distance.
- It prints the appropriate message indicating the relationship between the circles.
Flowchart:
Python Code Editor:
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