High school (grades 9–10) · TypeLab 2D
Hollow Hexagonal Section
Hollow Hexagonal Section: a composite plane figure made of a regular hexagon with side 4.4 cm, minus a regular hexagon with side 2.6 cm. It is a classic high school (grades 9–10) geometry problem (“Structural Sections”). The net area is 32.74 cm² and the total perimeter is 42 cm, including 15.6 cm along the inner hole.
Certified measurements (1:1 scale)
- Net area
- 32.74 cm²
- Total perimeter
- 42 cm
- Outer boundary
- 26.4 cm
- Hole boundaries
- 15.6 cm
- Bounding box
- 8.8 × 7.62 cm
- Basic shapes
- 2
Step-by-step decomposition
- 1.Baseregular hexagon with side 4.4 cm50.3 cm²
- 2.−regular hexagon with side 2.6 cm17.56 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = (3√3/2)·(L² − l²)
Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 50.3 − 17.56 = 32.74 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.
