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There is a variable missing on the axis somewhere: why doesnt the "average temperature" coloring extend all the way to the edge? It should be shaped like a pie slice as I understand it.

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I'm not sure if I totally understand your point. But from what I'm seeing on the graph, the temperature coloring is only present when the average temperature is above 70 (in red) or below 50 (in white). So there is no coloring around the edges in spring/fall for many graphs because the average temperature is likely between 50-70.

Yes but why doesn't it look like a pie slice - outlined by "clock hands." The circle graph treats the year like a clock. There is no reason that if Aug 5 is above 70 on average, that the coloring only goes halfway on that day. It's a binary yes/no.

I presumed that represents the number of days in that month where the temperature was above (or below) that certain threshold.

This is rather common in weather sites.

Ok so that's what I mean by missing variable - the "number of days in that month" is not represented on the graph.

It also makes more sense that this is plotting 12 points and smoothing the curve, in my mind me I had assumed it was a daily plot of the data.

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