It depends on how you see it. In one sense, the king is bigger because the game ends once the king is checkmated, while the game continues even after the queen is captured!
However, from the point of view of controlling squares, the queen is an extremely strong piece, due to the wide variety of allowed moves that it has!
At an even deeper level, the answer to your question also depends on the phase of the game, and the dynamics of that particular game!
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The piece to the left of the king at the start of the game. Can move diagonally, horizontally, and vertically. Is not able to jump over pieces.
While the king is the single most important chess piece , the queen is the most powerful and thus the strongest piece because of her power to move about the chess-board in strength .