Your doctor will ask about your health history. You may have a physical exam. This includes a basic eye exam. A primary care doctor will often make the diagnosis. They will rule out other causes of red eye that might need other treatment.
Your primary care doctor might send you to an eye doctor if they think you may have a different problem with your eye. You will need to see an ophthalmologist (a doctor who specializes in eye problems) if you have had a serious eye injury. Your doctor might use a special lighted microscope to look at your eye in more detail. This helps to show if the injury went deeper or just involved the conjunctiva.
If this is your first subconjunctival hemorrhage, your doctor may not give you more tests. If you have had more than one, your doctor may need to check for a cause. For example, you may need blood tests to see if you have a blood clotting disorder.