High school (grades 11–12) · TypeLab 2D
Reuleaux Triangle
Reuleaux Triangle: a composite plane figure made of a circle of radius 5.6 cm, intersected with a circle of radius 5.6 cm, intersected with a circle of radius 5.6 cm. It is a classic high school (grades 11–12) geometry problem (“Lenses & Reuleaux”). The net area is 22.07 cm² and the total perimeter is 17.59 cm.
Certified measurements (1:1 scale)
- Net area
- 22.07 cm²
- Total perimeter
- 17.59 cm
- Bounding box
- 5.6 × 5.6 cm
- Basic shapes
- 3
Step-by-step decomposition
- 1.Basecircle of radius 5.6 cm98.52 cm²
- 2.∩circle of radius 5.6 cm98.52 cm²
- 3.∩circle of radius 5.6 cm98.52 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = ½·(π − √3)·l² · 2p = π·l (Barbier)
The parts overlap or intersect, so the net area (22.07 cm²) comes from the exact Boolean operation rather than from a plain sum of the part areas.
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.
