Can the radius of this semicircle be calculated from the given data?

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The semicircle highlighted by the red ellipse has an unspecified radius. Can it be calculated given available data? If not, what additional data is needed?

Note: As stated, all features are symmetrical about the dashed diagonal.

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Converting Nick Pavlov's comment into an answer:


Two things are problematic: there's no way to work out the thickness of those back "wings" and also, the lines around the semicircle don't look exactly parallel (so it isn't really a semi-circle) and nothing allows you to figure out the angle between them.