High school (grades 11–12) · TypeLab 2D
Salinon of Archimedes
Salinon of Archimedes: a composite plane figure made of a semicircle of radius 4.4 cm, minus a semicircle of radius 1.1 cm, minus a semicircle of radius 1.1 cm, joined with a semicircle of radius 2.2 cm. It is a classic high school (grades 11–12) geometry problem (“Archimedes & Hippocrates”). The net area is 34.19 cm² and the total perimeter is 27.35 cm.
Certified measurements (1:1 scale)
- Net area
- 34.19 cm²
- Total perimeter
- 27.35 cm
- Bounding box
- 8.8 × 6.6 cm
- Basic shapes
- 4
Step-by-step decomposition
- 1.Basesemicircle of radius 4.4 cm30.41 cm²
- 2.−semicircle of radius 1.1 cm1.9 cm²
- 3.−semicircle of radius 1.1 cm1.9 cm²
- 4.+semicircle of radius 2.2 cm7.6 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = ¼·π·(R + r₂)² = π·(asse/2)²
Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 30.41 − 1.9 − 1.9 + 7.6 = 34.19 cm².
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.
