Middle school · TypeLab 2D
Hexagonal Nut
Hexagonal Nut: a composite plane figure made of a regular hexagon with side 4.2 cm, minus a circle of radius 1.9 cm. It is a classic middle school geometry problem (“Cutouts & Benchmarks”). The net area is 34.5 cm² and the total perimeter is 37.14 cm, including 11.94 cm along the inner hole.
Certified measurements (1:1 scale)
- Net area
- 34.5 cm²
- Total perimeter
- 37.14 cm
- Outer boundary
- 25.2 cm
- Hole boundaries
- 11.94 cm
- Bounding box
- 8.4 × 7.27 cm
- Basic shapes
- 2
Step-by-step decomposition
- 1.Baseregular hexagon with side 4.2 cm45.83 cm²
- 2.−circle of radius 1.9 cm11.34 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = (3√3/2)·l² − π·r²
Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 45.83 − 11.34 = 34.5 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.
