Creating a symmetrical design to cut out

as requested on support…

Given the desire to arrive at:

how would one get there from scratch?

First, it will be easier to get dimensions if the geometry is compleat, so we move this to a template layer and rotate it 45 degrees:

This allows us to select each pairs or sets of each element:

and get their dimensions:

which can then be assigned to circles using a bit of math:

For regions which are not defined as such, draw in geometry:

and then subtract from it:

(keeping the original vectors for later reference)

OK

Repeat for the other edge:

OK

Then use that dimension:

With the circular geometry in place, then rotate the template geometry back to its original position:

and draw in rectangles to create the straight lines (with a bit of adjustment)

Then increase their heights so that they will extend beyond the circles:

copy-paste them so as to duplicate them in place, then rotate the duplicates 90 degrees:

Done

Hide the Template layer, then select all the geometry:

and use the Trim Vectors tool to remove what is not wanted:

Until one arrives at:

OK

Use Join Vectors to close things:

Yes

shift-click on what one wishes to keep:

and delete what is not wanted:

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