Arched window rail segment calculator

This has been kicking around in my head since a gig where I had to piece together lumber for an arched window.

In this example the curve is bisected into 4 segments. Each partial curve will get it’s own trapezoid of material. You can use trigonometry to find the dimensions of these trapezoids based on your inner and outer curve radius.

In Figure 1, each trapezoid is a piece of an isosceles triangle. Slicing this triangle in half renders two right triangles. We can use one of these triangles to find the dimensions of our trapezoid.

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Window replacement

Nothing special, just a random story illustrating why this business is really nuts sometimes.

This window couldn’t be cleaned because something had gone wrong with the seal and the debris was IN-BETWEEN the panes of glass. So I ordered a new window.

The guy I hired to do the replacement ripped out the old window and threw it into the backyard. He spent 4 hours trying to get the new window in before throwing in the towel. The old window was in pieces in the yard, and unusable (How I wish I’d gotten a photo!). I wasn’t in town so I called in another contractor I knew to see if he could manage it. He said the window I ordered was for new construction and couldn’t be used as a replacement. I asked him if it could be modified to work and he said he didn’t think so, but he had a buddy who had some surplus windows, a few inches too short, but he could go pick one up and install it. The first guy could do the framing to close up the gap since it was too short for the opening. I said ok.

WTF.

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