How can i create a circle around a point in the 2 D plane with a specified radius and determine its interscection piont with another circle?

Hi people,
i have given point , lets say (x,y)=(3,5) and would like to draw a circle around it with radius r=2. I searched for a routine in matlab but didnt find one.
My aim is to finally plot various circles and to determine the intersection points.
I hope you can help me,
With best regards, John

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