Two Circles

There are two circles in a plane. The radius of the first circle is $R_1$, while the radius of the second circle is $R_2$. The coordinates of the centre of the first circle are $(X_1, Y_1)$, while the coordinates the centre of the second circle are $(X_2, Y_2)$. Consider all points $P$ with the following properties: - $P$ lies strictly inside the first circle or on its perimeter. - $P$ lies stric