High school (grades 11–12) · TypeLab 2D
Truncated Circle Band
Truncated Circle Band: a composite plane figure made of a circle of radius 4.4 cm, intersected with a rectangle 9.6 × 5.2 cm. It is a classic high school (grades 11–12) geometry problem (“Lenses & Reuleaux”). The net area is 42.92 cm² and the total perimeter is 25.32 cm.
Certified measurements (1:1 scale)
- Net area
- 42.92 cm²
- Total perimeter
- 25.32 cm
- Bounding box
- 8.8 × 5.2 cm
- Basic shapes
- 2
Step-by-step decomposition
- 1.Basecircle of radius 4.4 cm60.82 cm²
- 2.∩rectangle 9.6 × 5.2 cm49.92 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = 2·[R²·arcsin(h/2R) + (h/2)√(R²−h²/4)]
The parts overlap or intersect, so the net area (42.92 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.
