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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  • One more thing...
    Another reason I wanted to recreate this shape was because I had previously ordered a set of templates for this block and they were not right -- which I found out after I had cut the fabric and try to put it together! I wanted to be able to check out these new templates BEFORE I cut my fabric. Hell hath no fury like a quilter who has cut her fabric wrong.

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