To clip a shape with part of another shape, combine shapes into a single object, and more.
The Intersect command clips the bottom shape to the intersecting area of the top shape, resulting in a new shape.
Note that the new shape will adopt the style of the (lower) object being intersected.
Union unites two or more shapes into a single shape object.
Note that the new shape will adopt the style of the top object in the selection.
Use Difference to subtract a portion of one shape (the top shape) from another (bottom) shape.
Note that the remaining shape maintains its original style.
Combining like objects into single shapes can make your drawing more efficient. The Append command combines multiple shapes into a single shape object, with overlapping areas excluded from the new shape. Objects do not need to overlap to be appended together. Append is also appropriate for open paths, whereas the others work only with closed paths. Using Union, Intersection or Difference with an open path produces undefined results (though Undo works to correct any unexpected outcomes).
Note that the new shape will adopt the style of the top object in the selection.