High school (grades 11–12) · TypeLab 2D
Single-Span Arch Bridge
Single-Span Arch Bridge: a composite plane figure made of a rectangle 8.8 × 5.6 cm, minus a semicircle of radius 2.8 cm. It is a classic high school (grades 11–12) geometry problem (“Calculus & Optimization”). The net area is 36.97 cm² and the total perimeter is 31.99 cm.
Certified measurements (1:1 scale)
- Net area
- 36.97 cm²
- Total perimeter
- 31.99 cm
- Bounding box
- 8.8 × 5.6 cm
- Basic shapes
- 2
Step-by-step decomposition
- 1.Baserectangle 8.8 × 5.6 cm49.28 cm²
- 2.−semicircle of radius 2.8 cm12.32 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = B·H − ½·π·R²
Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 49.28 − 12.32 = 36.97 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.
