Help with Geometry package.

First let me apologize if this is in the wrong forum.
My problem is for class. We have to construct two classes. Point and Circle. Point has two double variables X and Y. Circle has Center which is an instance of Point and Radius a double. I have the classes contructed, I'm having a problem with two methods we have to write.
Method 1: Get a user inputed circle and point and see if the point lies in the circle.
Method 2: Get two circles and see if they touch or overlap.
I'm fairly new to Java and the API is little to no help, as well as the book for the class. Looking through it I figure I'm gonna need to use Area, as well as Contains in there somewhere but I have no idea about how to go about it.
Any help would be appreciated. Thanks.
mm

Suppose we have a distanceBetween() method that takes two
points and returns the distance between them.
Method 1: Get a user inputed circle and point and see if the point lies
in the circle.checks distanceBetween(point, circle-center) to see if it less than
circle-radius
Method 2: Get two circles and see if they touch or overlap.checks distanceBetween(circle-center, other-circle-center) to see if it
is less than (or equal to) circle-radius + other-circle-radius
Depending on what you are using for a point the distanceBetween()
method could use something builtin to the basic Java classes, or
you could roll your own using pythagoras' forumula.
(x1,y1)->(x2,y2) = ((x2-x1)^2 + (y2-y1)^2) ^1/2

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