High school (grades 11–12) · TypeLab 2D
Perforated Vesica Eye
Perforated Vesica Eye: a composite plane figure made of a circle of radius 5.4 cm, intersected with a circle of radius 5.4 cm, minus a circle of radius 1.3 cm. It is a classic high school (grades 11–12) geometry problem (“Lenses & Reuleaux”). The net area is 36.18 cm² and the total perimeter is 32.14 cm, including 8.17 cm along the inner hole.
Certified measurements (1:1 scale)
- Net area
- 36.18 cm²
- Total perimeter
- 32.14 cm
- Outer boundary
- 23.98 cm
- Hole boundaries
- 8.17 cm
- Bounding box
- 9.67 × 6 cm
- Basic shapes
- 3
Step-by-step decomposition
- 1.Basecircle of radius 5.4 cm91.61 cm²
- 2.∩circle of radius 5.4 cm91.61 cm²
- 3.−circle of radius 1.3 cm5.31 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = A_vesica(R) − π·r₀²
The parts overlap or intersect, so the net area (36.18 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.
