My college geometry class has been studying circles recently and it got me thinking about applications. I understand that circles have a myriad of applications in the real-world and that it is often useful to know the radius, diameter, central angle, or arc length of a circle.

But what about (non-diameter) chords and inscribed angles? There are a number of properties about intersecting chords, chords in general, and inscribed angles. Do these have any realistic applications, or are they studied simply for their own sake? All of the problems in my geometry book involving inscribed angles and chords are non-contextualized.

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