Simon has built a gazebo, whose shape is a regular heptagon, with a side length of 1 unit. He has also built a walkway around the gazebo, of constant width 1 unit, as shown below. (Every point on the ground that is within 1 unit of the gazebo and outside the gazebo is covered by the walkway.) Find the area of the walkway.
The area of the walkway is 10.14159265 units squared.