query: The perimeter of a rectangle inscribed in semicircle
positive_passages.docid: 149617
positive_passages.text: Rectangle inscribed in semicircle, find perimeter and more
negative_passages.docid: 26329
negative_passages.text: Is there a shape with infinite area but finite perimeter?
negative_passages.docid: 152236
negative_passages.text: What is the optimal path between $2$ fixed points around an invisible obstructing wall?
negative_passages.docid: 675
negative_passages.text: Calculate the radius of a circle given the chord length and height of a segment
negative_passages.docid: 5086
negative_passages.text: Why is the derivative of a circle's area its perimeter (and similarly for spheres)?
negative_passages.docid: 71861
negative_passages.text: Circles and tangents and circumcircles
negative_passages.docid: 120196
negative_passages.text: An angle inside a regular pentagon
negative_passages.docid: 89361
negative_passages.text: Unit circle is divided into $n$ equal pieces, what is the least value of the perimeters of the $n$ parts?
negative_passages.docid: 131919
negative_passages.text: Vertices of equilateral triangle inscribed in the unit circle
negative_passages.docid: 11338
negative_passages.text: How to find the circumcenter of a triangle and the length of the corresponding radius of the circle in $\mathbb{R}^3$
negative_passages.docid: 37357
negative_passages.text: Rectifiability of a curve
negative_passages.docid: 65491
negative_passages.text: if the curvature is constant and positive, then it is on the circunference
negative_passages.docid: 39416
negative_passages.text: The space obtained by identifying the antipodal points of a circle
negative_passages.docid: 21875
negative_passages.text: Find a point on a rotated rectangle with known angle
negative_passages.docid: 115677
negative_passages.text: Prove the equality of circle's areas
negative_passages.docid: 92751
negative_passages.text: What algorithm can I use to determine points within a semi-circle?
negative_passages.docid: 17801
negative_passages.text: Isosceles triangle has the least perimeter among triangles on the same base with same area?