Project: The Circle$2$D Class

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Problem Description:

Define the Circle$2$D class that contains:

$$ Two double data fields named x and y that specify the center of the circle with get methods.

$$ A data field radius with a get method.

$$ A no$-$arg constructor that creates a default circle with $(0,0)$ for $($x$,$ y$)$ and $1$ for radius.

$$ A constructor that creates a circle with the specified x$,$ y$,$ and radius.

$$ A method getArea$()$ that returns the area of the circle.

$$ A method getPerimeter$()$ that returns the perimeter of the circle.

$$ A method contains$($double x$,$ double y$)$ that returns true if the specified point $($x$,$ y$)$ is inside this circle. See Figure $($a$).$

$$ A method contains$($Circle$2$D circle$)$ that returns true if the specified circle is inside this circle. See Figure $($b$).$

$$ A method overlaps$($Circle$2$D circle$)$ that returns true if the specified circle overlaps with this circle. See the figure below.

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$($a$)($b$)($c$)$

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Figure

$($a$)$ A point is inside the circle. $($b$)$ A circle is inside another circle. $($c$)$ A circle overlaps another circle.

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Draw the UML diagram for the class. Implement the class. Write a test program that creates a Circle$2$D object c$1($new Circle$2$D$(2,2,5\mathrm{.}5)),$ displays its area and perimeter, and displays the result of c$1.$contains$(3,3),$ c$1.$contains$($new Circle$2$D$(4,5,10\mathrm{.}5)),$ and c$1.$overlaps$($new Circle$2$D$(3,5,2\mathrm{.}3)).$

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Design:

Draw the UML class diagram here

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Coding: $($Copy and Paste Source Code here. Format your code using Courier $10$pts$)$

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public class MyProject $\{$

$$ public static void main$($String$[]$ args$)\{$

$$ Circle$2$D c$1=$ new Circle$2$D$(2,2,5\mathrm{.}5)$;

$$ System.out.println$("$Area is $"+$ c$1.$getArea$())$;

$$ System.out.println$("$Perimeter is $"+$ c$1.$getPerimeter$())$;

$$ System.out.println$($c$1.$contains$(3,3))$;

$$ System.out.println$($c$1.$contains$($new Circle$2$D$(4,5,10\mathrm{.}5)))$;

$$ System.out.println$($c$1.$overlaps$($new Circle$2$D$(3,5,2\mathrm{.}3)))$;

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class Circle$2$D $\{$

$//$ Implement your class here

$\}$

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Submit the following items:

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Submit the project to the course site

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