Answer
code
Work Step by Step
# 4.29 (Geometry: two circles) Write a program that prompts the user to enter the center
# coordinates and radii of two circles and determines whether the second circle is
# inside the first or overlaps with the first, as shown in Figure 4.11. (Hint: circle2 is
# inside circle1 if the distance between the two centers <= | r1 - r2| and circle2
# overlaps circle1 if the distance between the two centers <= r1 + r2. Test your
# program to cover all cases.)
import math
x1, y1, r1 = eval(input("Enter circle1's center x-, y-coordinates, and radius: "))
x2, y2, r2 = eval(input("Enter circle2's center x-, y-coordinates, and radius: "))
distance = math.sqrt((x1 - x2) ** 2 + (y1 - y2) ** 2)
if distance <= abs(r1 - r2):
print("circle2 is inside circle1")
elif distance <= r1 + r2:
print("circle2 overlaps circle1")
else:
print("circle2 does not overlap circle1")
