High school (grades 9–10) · TypeLab 2D
Semicircular Arch Ring
Semicircular Arch Ring: a composite plane figure made of a semicircle of radius 4.8 cm, minus a semicircle of radius 2.6 cm. It is a classic high school (grades 9–10) geometry problem (“Sectors & Annuli”). The net area is 25.55 cm² and the total perimeter is 27.64 cm.
Certified measurements (1:1 scale)
- Net area
- 25.55 cm²
- Total perimeter
- 27.64 cm
- Bounding box
- 9.6 × 4.8 cm
- Basic shapes
- 2
Step-by-step decomposition
- 1.Basesemicircle of radius 4.8 cm36.19 cm²
- 2.−semicircle of radius 2.6 cm10.62 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = ½·π·(R² − r²) · 2p = π(R+r) + 2(R−r)
Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 36.19 − 10.62 = 25.55 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.
