It should be workable to do this in Carbide Create if one enables the Pro features.

One starts by drawing two suitable circles, and then a line to use to register against when drawing:

I count 10 flutes, so we duplicate the line twice, drag the duplicates into registration, select it and the outer line and rotate by 360 degrees divided by 10, so 36 degrees:

resulting in:

and we then repeat this to arrive at:

We now use the rotated lines to draw in a curve which defines the desired curve and is closed:

Go into node edit mode and adjust the curves as desired:

(note that the trailing curve should be overlapped by the leading one — probably easiest to leave it as a straight line)

Ones initial inclination is to then duplicate or redraw the circles and use Boolean operations to trim the curve as shown below, but that won’t work:

resulting in:

Delete the lines and then duplicate the curve and drag it back into registration and rotate it and the outer circle:

Hang on for the actual geometry needed.