Middle school · TypeLab 2D
Running Track Ring
Running Track Ring: a composite plane figure made of a rectangle 5.2 × 5 cm, joined with a semicircle of radius 2.5 cm, joined with a semicircle of radius 2.5 cm, minus a rectangle 5.2 × 2.4 cm. It is a classic middle school geometry problem (“Arcs & Semicircles”). The net area is 33.14 cm² and the total perimeter is 41.31 cm, including 15.2 cm along the inner hole.
Certified measurements (1:1 scale)
- Net area
- 33.14 cm²
- Total perimeter
- 41.31 cm
- Outer boundary
- 26.11 cm
- Hole boundaries
- 15.2 cm
- Bounding box
- 10.2 × 5 cm
- Basic shapes
- 4
Step-by-step decomposition
- 1.Baserectangle 5.2 × 5 cm26 cm²
- 2.+semicircle of radius 2.5 cm9.82 cm²
- 3.+semicircle of radius 2.5 cm9.82 cm²
- 4.−rectangle 5.2 × 2.4 cm12.48 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = 2·b·s + π·(R² − r²)
Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 26 + 9.82 + 9.82 − 12.48 = 33.14 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.
