You are only required to state what your conviction (disorderly conduct) was for. And a lot of job applications only ask about felonies. Just be truthful ( I was in the park when I shouldn't have been). There is no need to go into details unless asked in the interview. An employer can get the circumstances and the original charge through the freedom of information act , but for a misdemeanor thats highly unlikely as that is rather lengthy and takes up quite a bit of time. More likely they will get a criminal background check. And when they get the state record it will only show the conviction, (disorderly conduct) the date of arrest, and the date of conviction. Not the circumstances of the arrest.