Your doctor will ask about your health history. You may have a physical exam. This includes a basic eye exam. Your doctor will make sure you don't have other causes of red eye that may need other treatment.
You will need to see an eye surgeon (ophthalmologist) if you have had an eye injury. This eye doctor might use a special lighted microscope to look closely at your eye. This helps show them if the injury hurt the eye itself or just its outer layer.
If this is not your first subconjunctival hemorrhage, your doctor may need to find the cause. For example, you may need blood tests to check for a blood clotting disorder.