High school (grades 9–10) · TypeLab 2D
Four-Bolt Circular Flange
Four-Bolt Circular Flange: a composite plane figure made of a circle of radius 4.6 cm, minus a circle of radius 1.5 cm, minus a circle of radius 0.55 cm, minus a circle of radius 0.55 cm, minus a circle of radius 0.55 cm, minus a circle of radius 0.55 cm. It is a classic high school (grades 9–10) geometry problem (“Structural Sections”). The net area is 55.57 cm² and the total perimeter is 52.14 cm, including 23.24 cm along the 5 inner holes.
Certified measurements (1:1 scale)
- Net area
- 55.57 cm²
- Total perimeter
- 52.14 cm
- Outer boundary
- 28.9 cm
- Hole boundaries
- 23.24 cm
- Bounding box
- 9.2 × 9.2 cm
- Basic shapes
- 6
Step-by-step decomposition
- 1.Basecircle of radius 4.6 cm66.48 cm²
- 2.−circle of radius 1.5 cm7.07 cm²
- 3.−circle of radius 0.55 cm0.95 cm²
- 4.−circle of radius 0.55 cm0.95 cm²
- 5.−circle of radius 0.55 cm0.95 cm²
- 6.−circle of radius 0.55 cm0.95 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = π·(R² − r₀² − 4·r_b²)
Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 66.48 − 7.07 − 0.95 − 0.95 − 0.95 − 0.95 = 55.57 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.
