Take a walk, run, or bike ride down the Arkansas River Trail - or at least part of it. The recreation trail stretches over eleven miles but isn't quite finished yet, when completed it will cover a total of 24 miles. If you decide to brave the whole trail, you'll be walking from downtown Little Rock, to Pinnacle Mountain State Park, from North Little Rock to Cook's Landing, and eventually across Murray Lock and Dam to the Presidential Library. That's a lot of ground to cover, be sure to wear some comfy shoes!
The Arkansas Governor's Mansion was originally completed in 1950. It is a Georgian Colonial Mansion with walkways that link to two cottages with one and half acres of maintained herb and vegetable gardens.