# 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:**

**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:**

**Python Code Editor:**

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**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.

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