This phase II trial is studying how well giving bevacizumab together with radiation therapy and cisplatin works in treating patients with previously untreated locally advanced cervical cancer. Monoclonal antibodies, such as bevacizumab, can block tumor growth in different ways. Some block the ability of tumor cells to grow and spread. Others find tumor cells and help kill them or carry tumor-killing substances to them. Bevacizumab may also stop the growth of cervical cancer by blocking blood flow to the tumor. Radiation therapy uses high-energy x-rays to kill tumor cells. Drugs used in chemotherapy, such as cisplatin, work in different ways to stop the growth of tumor cells, either by killing the cells or by stopping them from dividing. Giving bevacizumab together with radiation therapy and cisplatin may kill more tumor cells.