1. Picnic at the Park: Great Circle Earthworks has a beautiful park area where visitors can spread out their picnic blankets and enjoy an outdoor meal surrounded by nature.

2. Riverside Picnics: The Licking River runs near the earthworks, providing a serene spot for picnickers to set up camp and relax with some food while enjoying views of the water.

3. Shelter House Area: There is also a shelter house available in case you prefer your picnic under cover or need protection from unexpected weather changes during your visit.

4. Grassy Fields: Spread across 120 acres, there are plenty of grassy fields within this historical site that make perfect spots for laying down your blanket and having lunch amidst greenery all around you.

5. Near Observation Deck: You could choose to have your picnic close to one of these decks so as not only do they provide seating but also offer panoramic views over Newark's ancient mounds which would be quite unique!

6. Picnic Tables Areas: For those who don't want to sit on ground,there are several areas throughout Great Circle Earthwork grounds equipped with tables & benches making it convenient place for family outings.

7. Bird Watching Spots: If you're into bird watching then pick any quiet corner inside this vast archaeological complex . With more than hundred species recorded here,you'll surely get company while eating !

8. Near Museum: After exploring museum artifacts why not refuel yourself right outside its premises? It's easy access plus saves time too!

9. Woodland Trails: Pack light snacks /refreshments before heading onto woodland trails surrounding main circle mound.Its peaceful environment will definitely enhance overall dining experience.

10. Sunset View Point: End day perfectly by planning evening snack session at sunset view point located towards west side.This way besides relishing meals,you'll witness mesmerizing sunsets turning sky into shades orange,pink & purple !