High school (grades 11–12) · TypeLab 2D
Maltese / Pattee Cross
Maltese / Pattee Cross: a composite plane figure made of a square with side 6.8 cm, minus a triangle with base 4.4 cm and height 2.3 cm, minus a triangle with base 4.4 cm and height 2.3 cm, minus a triangle with base 4.4 cm and height 2.3 cm, minus a triangle with base 4.4 cm and height 2.3 cm, minus a circle of radius 0.75 cm. It is a classic high school (grades 11–12) geometry problem (“Lenses & Reuleaux”). The net area is 24.23 cm² and the total perimeter is 39.77 cm, including 4.71 cm along the inner hole.
Certified measurements (1:1 scale)
- Net area
- 24.23 cm²
- Total perimeter
- 39.77 cm
- Outer boundary
- 35.06 cm
- Hole boundaries
- 4.71 cm
- Bounding box
- 6.8 × 6.8 cm
- Basic shapes
- 6
Step-by-step decomposition
- 1.Basesquare with side 6.8 cm46.24 cm²
- 2.−triangle with base 4.4 cm and height 2.3 cm5.06 cm²
- 3.−triangle with base 4.4 cm and height 2.3 cm5.06 cm²
- 4.−triangle with base 4.4 cm and height 2.3 cm5.06 cm²
- 5.−triangle with base 4.4 cm and height 2.3 cm5.06 cm²
- 6.−circle of radius 0.75 cm1.77 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = L² − 4·(½·b·p) − π·r₀²
Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 46.24 − 5.06 − 5.06 − 5.06 − 5.06 − 1.77 = 24.23 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.
