Problem

A circle is centered at \(R\). Diameter \(NT\) is given, and a perpendicular diameter through \(R\) will meet the circle at \(S\) and \(U\). Construct the inscribed square by stating the \(\text{two}\) diameters, central gaps, connection order, and result.

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first diameter = NT; second diameter = perpendicular through R meeting S,U; central gaps = four 90° angles; connection = N-S-T-U-N; result = inscribed square

first diameter = NT; second diameter = perpendicular S,U; central gaps = 90°; connection = N-S-U-T; result = square

first diameter = NT; second diameter = through R at 60°; central gaps = 60°; connection = N-S-T-U-N; result = square

first diameter = NT; second diameter = perpendicular S,U; central gaps = 90°; connection = N-T-S-U-N; result = square

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A circle is centered at \(R\). Diameter \(NT\) is given, and a perpendicular diameter through \(R\) will meet the circle at \(S\) and \(U\). Construct the inscribed square by stating the \(\text{two}\) diameters, central gaps, connection order, and result.

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