Middle school · TypeLab 2D
Norman Window
Norman Window: a composite plane figure made of a rectangle 6 × 5.2 cm, joined with a semicircle of radius 3 cm. It is a classic middle school geometry problem (“Arcs & Semicircles”). The net area is 45.33 cm² and the total perimeter is 25.82 cm.
Certified measurements (1:1 scale)
- Net area
- 45.33 cm²
- Total perimeter
- 25.82 cm
- Bounding box
- 6 × 8.2 cm
- Basic shapes
- 2
Step-by-step decomposition
- 1.Baserectangle 6 × 5.2 cm31.2 cm²
- 2.+semicircle of radius 3 cm14.14 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = b·h + ½·π·(b/2)² · 2p = b + 2h + π·(b/2)
Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 31.2 + 14.14 = 45.33 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.
