This randomized phase III trial studies radiation therapy with chemotherapy to see how well it works compared to radiation therapy alone in treating patients with stage I or stage II cervical cancer who previously underwent surgery. 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. It is not yet known whether giving radiation therapy together with chemotherapy is more effective than radiation therapy alone in treating patients with cervical cancer.