To Place an Arc by Its Center

Select the Place Arc tool (Drawing > Home > Placement > Arc Tools split button ).
Set Method to Center, Start.
Enter a data point to define the arc's center.
If Radius, Start Angle, Direction, and either Length or Sweep Angle are all on, the arc is placed.
If necessary, enter a data point to define the arc's start point.
If Radius and Start Angle are on, this data point defines the arc's sweep angle and direction, and places the arc.

If Sweep Angle also is on, this data point defines the arc's direction and places the arc.
If necessary, enter a data point to define the arc's sweep angle and place the arc.

Place Arc, with Method set to Center, Start and no constraints. Enter a data point to define the center (1), the radius/start (2) and the direction/sweep angle (3).

Place Arc with Method set to Center, Start, and all constraints on, except direction: Radius (R), Start Angle (ST), Sweep Angle (SW). Enter a data point to define the center (1) and the direction (2).