High school (grades 11–12) · TypeLab 2D
Quadrable Lune of Hippocrates
Quadrable Lune of Hippocrates: a composite plane figure made of a semicircle of radius 3.8 cm, minus a circle of radius 5.37 cm. It is a classic high school (grades 11–12) geometry problem (“Archimedes & Hippocrates”). The net area is 14.44 cm² and the total perimeter is 20.38 cm.
Certified measurements (1:1 scale)
- Net area
- 14.44 cm²
- Total perimeter
- 20.38 cm
- Bounding box
- 7.6 × 3.8 cm
- Basic shapes
- 2
Step-by-step decomposition
- 1.Basesemicircle of radius 3.8 cm22.68 cm²
- 2.−circle of radius 5.37 cm90.73 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A_lunula = R² = A_triangolo (senza π!)
The parts overlap or intersect, so the net area (14.44 cm²) comes from the exact Boolean operation rather than from a plain sum of the part areas.
Editable in PowerPoint & Office
The .PPTX file contains native DrawingML shapes: outlines, dimensions and labels stay separate objects you can recolor and edit in PowerPoint, Keynote and Google Slides. The .SVG file is pure vector art at 1:1 scale on an A4 sheet, ready for print, LaTeX and textbook layout.
