Problem

(Geometry: two circles) Write a program that prompts the user to enter the center coordina...

(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 1. (Hint: circle2 is inside circle1 if the distance between the two centers 6 = |r1 - r2| and circle2 overlaps circle1 if the distance between the two centers <= r1 + r2. Test your program to cover all cases.) Here are the sample runs:

FIGURE 1 (a) A circle is inside another circle. (b) A circle overlaps another circle.

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