Middle school · TypeLab 2D
Geometric Heart
Geometric Heart: a composite plane figure made of a square with side 4.6 cm, joined with a semicircle of radius 2.3 cm, joined with a semicircle of radius 2.3 cm. It is a classic middle school geometry problem (“Arcs & Semicircles”). The net area is 37.77 cm² and the total perimeter is 23.65 cm.
Certified measurements (1:1 scale)
- Net area
- 37.77 cm²
- Total perimeter
- 23.65 cm
- Bounding box
- 7.18 × 7.85 cm
- Basic shapes
- 3
Step-by-step decomposition
- 1.Basesquare with side 4.6 cm21.16 cm²
- 2.+semicircle of radius 2.3 cm8.31 cm²
- 3.+semicircle of radius 2.3 cm8.31 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = l² + π·(l/2)² · 2p = 2l + π·l
Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 21.16 + 8.31 + 8.31 = 37.77 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.
