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Constructed point issue

So i have been having an issue with a certain construction involving an intersection of a radius with a line what im trying to do is make the 2 intersection that i have measured the walls as planes lines and points and the radius wall as a circle and a cylinder but when i try the construction the point ends up out in space where it shouldn't or on the opposite side of the radius. sometimes it produce a point in the right location but usually it produces a point on the wrong side of the circle for instance on the picture provided the top circle with drawn lines how would you go about getting the 2 intersection points sorry for hand drawn print dont have a print im allowed to share

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