Middle school · TypeLab 2D
Equilateral Trefoil
Equilateral Trefoil: a composite plane figure made of a triangle with base 4.4 cm and height 3.81 cm, joined with a semicircle of radius 2.2 cm, joined with a semicircle of radius 2.2 cm, joined with a semicircle of radius 2.2 cm. It is a classic middle school geometry problem (“Arcs & Semicircles”). The net area is 31.18 cm² and the total perimeter is 20.73 cm.
Certified measurements (1:1 scale)
- Net area
- 31.18 cm²
- Total perimeter
- 20.73 cm
- Bounding box
- 6.6 × 6.31 cm
- Basic shapes
- 4
Step-by-step decomposition
- 1.Basetriangle with base 4.4 cm and height 3.81 cm8.38 cm²
- 2.+semicircle of radius 2.2 cm7.6 cm²
- 3.+semicircle of radius 2.2 cm7.6 cm²
- 4.+semicircle of radius 2.2 cm7.6 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = (√3/4)·l² + (3/8)·π·l²
Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 8.38 + 7.6 + 7.6 + 7.6 = 31.18 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.
