**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

Figure 4.11

(a) A circle is inside another circle. (b) A circle overlaps another circle.

Make sure to read the rubric to see the additional requirements.

Rubric

5 pts: Software Development Lifecycle Plan

5 pts: User is prompted for input and can enter values properly (Note: You must get values one at a time, not a comma separated list)

20 pts: Properly detect a circle inside another circle, and determine which circle is inside which circle (NOTE the difference from book requirements)

10 pts: Properly detect circles overlapping

10 pts: Properly detect circles that do not overlap at all

5 pts: Proper naming conventions for variable names

5 pts: Proper comments at the top of the file with your name, assignment number, and description of the program.