Actually, I think these questions are not well posed! The first one says that a circle has radius 5 inches and then says that "the frequency is 1500 revolutions per minute". Frequency of what? I guess that since "a circle" is the only object mentioned we are to assume it is the circle rotating but that should have been said: "the circle rotates at 1500 revolutions per minute".
Could you please tell us what kind of mathematics you have been doing that this problem is related to? Myself, I would assume an xy-coordinate system with origin at the center of the circle and represent the rotating circle by the "parametric equations" x= 5 cos(1500t), y= 5 sin(1500t) but I don't know if you are familiar with coordinate systems and "parametric equations".
The second problem says "the distance from the top of the engine to the center of the circle is 13 inches". What engine? Is the engine to be assumed not moving? If so I would assume a fixed point, say (0, 13) in the coordinate system then "translate" the coordinates.