Middle school · TypeLab 2D
Quatrefoil
Quatrefoil: a composite plane figure made of a square with side 4.2 cm, joined with a semicircle of radius 2.1 cm, joined with a semicircle of radius 2.1 cm, joined with a semicircle of radius 2.1 cm, joined with a semicircle of radius 2.1 cm. It is a classic middle school geometry problem (“Arcs & Semicircles”). The net area is 45.33 cm² and the total perimeter is 26.38 cm.
Certified measurements (1:1 scale)
- Net area
- 45.33 cm²
- Total perimeter
- 26.38 cm
- Bounding box
- 8.4 × 8.4 cm
- Basic shapes
- 5
Step-by-step decomposition
- 1.Basesquare with side 4.2 cm17.64 cm²
- 2.+semicircle of radius 2.1 cm6.93 cm²
- 3.+semicircle of radius 2.1 cm6.93 cm²
- 4.+semicircle of radius 2.1 cm6.93 cm²
- 5.+semicircle of radius 2.1 cm6.93 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = l² + 2·π·(l/2)² · 2p = 2·π·l
Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 17.64 + 6.93 + 6.93 + 6.93 + 6.93 = 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.
