Middle school · TypeLab 2D
Semicircle with Circular Hole
Semicircle with Circular Hole: a composite plane figure made of a semicircle of radius 4.6 cm, minus a circle of radius 1.5 cm. It is a classic middle school geometry problem (“Cutouts & Benchmarks”). The net area is 26.15 cm² and the total perimeter is 33.07 cm, including 9.42 cm along the inner hole.
Certified measurements (1:1 scale)
- Net area
- 26.15 cm²
- Total perimeter
- 33.07 cm
- Outer boundary
- 23.65 cm
- Hole boundaries
- 9.42 cm
- Bounding box
- 9.2 × 4.6 cm
- Basic shapes
- 2
Step-by-step decomposition
- 1.Basesemicircle of radius 4.6 cm33.24 cm²
- 2.−circle of radius 1.5 cm7.07 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = ½·π·R² − π·r²
Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 33.24 − 7.07 = 26.15 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.
