High school (grades 11–12) · TypeLab 2D
Curvilinear Double-Axe
Curvilinear Double-Axe: a composite plane figure made of a circle of radius 4.4 cm, minus a circle of radius 2.8 cm, minus a circle of radius 2.8 cm. It is a classic high school (grades 11–12) geometry problem (“Archimedes & Hippocrates”). The net area is 39.54 cm² and the total perimeter is 30.21 cm.
Certified measurements (1:1 scale)
- Net area
- 39.54 cm²
- Total perimeter
- 30.21 cm
- Bounding box
- 8.8 × 7.02 cm
- Basic shapes
- 3
Step-by-step decomposition
- 1.Basecircle of radius 4.4 cm60.82 cm²
- 2.−circle of radius 2.8 cm24.63 cm²
- 3.−circle of radius 2.8 cm24.63 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = π·R² − 2·A_lente(R, r, R)
The parts overlap or intersect, so the net area (39.54 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.
