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There have been great attentions on directional MAC (D-MAC) protocol recently in wireless ad hoc networks. Even if directional MAC has benefits such as spatial reuse and thus increased throughput, it has significant problems that have not been effectively rectified including hidden terminal and deafness problems. To tackle the hidden terminal and deafness problems, we propose a new D-MAC protocol that uses circular RTS (CRTS) and circular CTS (CCTS). We evaluate the performance of our protocol using ns-2 simulator. Performance evaluation shows that our proposed D-MAC protocol can reach up to 800% throughput gain with scenario 2 (24 nodes) against scenario 1 (3 nodes).