Middle school · TypeLab 2D
Portal with Rose Window
Portal with Rose Window: a composite plane figure made of a rectangle 6.4 × 5.4 cm, joined with a semicircle of radius 3.2 cm, minus a circle of radius 1.2 cm. It is a classic middle school geometry problem (“Arcs & Semicircles”). The net area is 46.11 cm² and the total perimeter is 34.79 cm, including 7.54 cm along the inner hole.
Certified measurements (1:1 scale)
- Net area
- 46.11 cm²
- Total perimeter
- 34.79 cm
- Outer boundary
- 27.25 cm
- Hole boundaries
- 7.54 cm
- Bounding box
- 6.4 × 8.6 cm
- Basic shapes
- 3
Step-by-step decomposition
- 1.Baserectangle 6.4 × 5.4 cm34.56 cm²
- 2.+semicircle of radius 3.2 cm16.08 cm²
- 3.−circle of radius 1.2 cm4.52 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = b·h + ½·π·R² − π·r²
Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 34.56 + 16.08 − 4.52 = 46.11 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.
