High school (grades 11–12) · TypeLab 2D
Circular Park Divided by Avenue
Circular Park Divided by Avenue: a composite plane figure made of a circle of radius 4.4 cm, minus a rectangle 9.6 × 2.2 cm. It is a classic high school (grades 11–12) geometry problem (“Calculus & Optimization”). The net area is 41.63 cm² and the total perimeter is 40.23 cm.
Certified measurements (1:1 scale)
- Net area
- 41.63 cm²
- Total perimeter
- 40.23 cm
- Bounding box
- 8.52 × 8.8 cm
- Basic shapes
- 2
Step-by-step decomposition
- 1.Basecircle of radius 4.4 cm60.82 cm²
- 2.−rectangle 9.6 × 2.2 cm21.12 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = π·R² − 2·[r·√(R²−r²) + R²·arcsin(r/R)]
The parts overlap or intersect, so the net area (41.63 cm²) comes from the exact Boolean operation rather than from a plain sum of the part areas.
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.
