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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  • Well...the overlapping circles method wins the prize! Sometimes I overthink these things. I like the 3-pt arc method myself, but the proof is in the template, so to speak. The overlapping circles lens shape does go outside the 3" square, but it matches the template exactly.

    Also, my hubby like to play with math, so whenever I ask him I get more than I asked, LOL. I'll show him how we do it in CorelDRAW tonight.

    I really appreciate your input, Eskimo and Mike!

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