I have brown eyes but there is a blue ring around it is this normal?

?corneal arcus: If you are referring to the "blue ring" around the peripheral cornea, this is called corneal arcus--represents cholesterol deposition from the limbal blood vessels that normally appears in people over 40. More often visible in brown colored irises due to darker background. If you are younger than 40 and are noticing arcus, an examination by an Eye MD to verify & check lipid profile important.

Arcus senilis: The light color ring around your iris is called arcus senilis. It is caused by tiny cholesterol deposits at the edge of the cornea, does not harm whatsoever and requires no treatment.