This was my approach:
Draw a 7-sided POLYGON [red] of any size with a horizontal edge at the top [several ways to accomplish that], and two horizontal LINEs [magenta] off two of its corners:
SCALE the arrangement using the Reference option -- the Reference distance is the distance between the magenta Lines, and the target distance is your 100 units. ERASE the magenta Lines. Draw two LINEs [green] between opposite midpoints and corners.
Draw a CIRCLE [yellow] using the Tangent/tangent/radius option, tangent to the green Lines, and at any radius [this happens to be 50 units].
Draw a LINE [white] from point A to point B, and EXTEND it if necessary to point C on the yellow Circle [if the Circle is smaller, that Line's outer intersection with it is point C].
SCALE the Circle, using point A as the base, and again with the Reference option -- A to C is the Reference distance, A to B is the target:
TRIM the outboard part off the yellow Circle; ARRAY the resulting Arc in Polar fashion 7 times around point A; draw a CIRCLE [cyan] centered at point A with its radius taken PERrpendicular to any of the yellow Arcs; ERASE the white and green lines and the red Polygon.
Kent Cooper, AIA