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There is a contradiction in the question.

A circumscribed circle is the smallest circle that will contain the shape in question. For example, the circumcircle (circumscribing circle) of a triangle is the smallest one which will contain the triangle. However, the question refers to "within which the circle" which would imply an inscribed circle. This is the biggest circle that can be wholly enclosed within the shape in question.

The two are obviously not the same and the question needs to be clear as to which one of the two is intended.

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Q: What does within which the circle was circumscribed mean?
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