Constructing a circle through three points and finding the centre

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In this exercise you given three points \(X\), \(Y\) and \(Z\). Your task is to construct a circle through these three points and find the centre of the circle.

In the diagram below you can see an example of three given points \(A\), \(B\) and \(C\). The orange circle is the unique circle through these three points and the point \(O\) is the centre of this circle.


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