What is the Difference Between Circumscribed and Inscribed Squares?

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Discussion Overview

The discussion revolves around the differences between circumscribed and inscribed squares in relation to a circle. Participants explore the definitions and implications of these terms, focusing on geometric relationships and visual representations.

Discussion Character

  • Conceptual clarification, Debate/contested

Main Points Raised

  • One participant seeks assistance in understanding the concepts of circumscribed and inscribed squares.
  • Another participant clarifies that "square ABCD" refers to the order of points around the perimeter, indicating that points A and C are diagonally opposite.
  • A different participant expresses confidence in their ability to draw circles, suggesting a light-hearted approach to the topic.
  • It is proposed that a "circumscribed square" is defined as a square that is outside the circle, with its sides being tangents to the circle, while the drawn square is identified as an inscribed square.

Areas of Agreement / Disagreement

Participants express differing interpretations of the definitions of circumscribed and inscribed squares, indicating that there is no consensus on the topic yet.

Contextual Notes

Definitions of circumscribed and inscribed may depend on specific geometric contexts, and the discussion does not resolve any potential ambiguities in these definitions.

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TL;DR
How to find an angle equal to another when the lines forming the angles are movable
Screenshot_20220327-183710.jpg


IMG_20220327_184212_065.jpg


Could someone help me?
 
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Well, for a start, I think "square ABCD" is meant to imply that the points A, B, C, D go in that order round the perimeter, so C is diagonally opposite to A.
 
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It seems I am not the worst circle drawer in the world!
 
Also, I think "circumscribed square" means the square is outside the circle (its sides are tangents to the circle). What you have drawn is the inscribed square.
 
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