Preheat the oven to 425 degrees F. Use an ungreased baking sheet.
Combine the flour, baking powder, salt, and sugar in a bowl, stirring with a fork to mix well. Add the dried apricots. Still using a fork, stir in the cream and mix until the dough holds together in a rough mass (the dough will be quite sticky).
Lightly flour a board and transfer the dough to it. Knead the dough 8 or 9 times. Pat into 2 circles about 6 inches round. For the glaze, spread the butter over the top and side of the circle of dough and sprinkle the sugar on top. Cut each circle into 8 wedges and place each piece on the baking sheet, allowing about an inch between pieces.
Bake for about 11 minutes, or until golden brown.