High school (grades 9–10) · TypeLab 2D
Dodecagon Minus Hexagon
Dodecagon Minus Hexagon: a composite plane figure made of a regular dodecagon with side 2.2 cm, minus a regular hexagon with side 2.4 cm. It is a classic high school (grades 9–10) geometry problem (“Euclid & Polygons”). The net area is 39.22 cm² and the total perimeter is 40.8 cm, including 14.4 cm along the inner hole.
Certified measurements (1:1 scale)
- Net area
- 39.22 cm²
- Total perimeter
- 40.8 cm
- Outer boundary
- 26.4 cm
- Hole boundaries
- 14.4 cm
- Bounding box
- 8.21 × 8.21 cm
- Basic shapes
- 2
Step-by-step decomposition
- 1.Baseregular dodecagon with side 2.2 cm54.19 cm²
- 2.−regular hexagon with side 2.4 cm14.96 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = 3(2+√3)·l₁² − (3√3/2)·l₂²
Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 54.19 − 14.96 = 39.22 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.
