Quilt block arc challenge anyone?

I have these perfect laser-cut acrylic templates to make this Rose Dream quilt block (for a 6" block). Now I need to create illustrated instructions to make the block from fabric. Been doing this for years, so the instructions are not the issue. I created the block quickly in CD, no problem. However, when I checked it against the acrylic template, the arcs of the lens-shaped piece did not match. Took me awhile to understand that the creator made the template a specific width, so it's not a 90° arc. 

So...the challenge is to create the block so that with of the arc is 2.00" (that would make the height of the arc 1.00"). If you're bored or curious to try, I've attached a PDF with a few more details. BTW, I think I found a way to do it, but I'm curious to see if someone comes up with another way. 

rdblock

Just keep in mind...all the geometry I know, I've learned as a quilter. My hubby told be this is really trigonometry. 

RoseDream_challenge.pdf

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  • Here's how I would have done it.

    Draw the large square

    Draw the smaller two corner squares to the required size

    Draw a line from the inner corners of the two smaller squares to create a diagonal (You could use a 45° Guideline but I'm going to use the centre point of this line later)

    Off to one side I draw a horizontal line, and set the line length to 1" using the Transformation docker/tool of choice

    Rotate the line 45°

    With Snap to Objects ON I grab the 1" line by the lower node and drag it to the 'center' of the diagonal line I drew previously. I now have the 1" offset set up

    With the 3 point curve tool I click on one end of the diagonal line and drag to the other end of the line, release the mouse button, then with CTRL held I click the outer end of the 1" line.

    Duplicate the new arc and shift select the outer large rectangle

    Click and drag the top right bounding box handle and drag to bottom left.

    Delete the temporary diagonal line and the 1" line.

    Took me way longer to type than to do it.

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