High school (grades 11–12) · TypeLab 2D
Symmetric Arbelos of Archimedes
Symmetric Arbelos of Archimedes: a composite plane figure made of a semicircle of radius 4.6 cm, minus a semicircle of radius 2.3 cm, minus a semicircle of radius 2.3 cm. It is a classic high school (grades 11–12) geometry problem (“Archimedes & Hippocrates”). The net area is 16.61 cm² and the total perimeter is 28.3 cm.
Certified measurements (1:1 scale)
- Net area
- 16.61 cm²
- Total perimeter
- 28.3 cm
- Bounding box
- 9.19 × 4.6 cm
- Basic shapes
- 3
Step-by-step decomposition
- 1.Basesemicircle of radius 4.6 cm33.24 cm²
- 2.−semicircle of radius 2.3 cm8.31 cm²
- 3.−semicircle of radius 2.3 cm8.31 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = π·r₁·r₂ · 2p = 2·π·R
Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 33.24 − 8.31 − 8.31 = 16.61 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.
