Middle school · TypeLab 2D
Corner-Scalloped Plaque
Corner-Scalloped Plaque: a composite plane figure made of a rectangle 8.2 × 5.6 cm, minus a circle of radius 1.4 cm, minus a circle of radius 1.4 cm, minus a circle of radius 1.4 cm, minus a circle of radius 1.4 cm. It is a classic middle school geometry problem (“Cutouts & Benchmarks”). The net area is 39.77 cm² and the total perimeter is 25.19 cm.
Certified measurements (1:1 scale)
- Net area
- 39.77 cm²
- Total perimeter
- 25.19 cm
- Bounding box
- 8.2 × 5.6 cm
- Basic shapes
- 5
Step-by-step decomposition
- 1.Baserectangle 8.2 × 5.6 cm45.92 cm²
- 2.−circle of radius 1.4 cm6.16 cm²
- 3.−circle of radius 1.4 cm6.16 cm²
- 4.−circle of radius 1.4 cm6.16 cm²
- 5.−circle of radius 1.4 cm6.16 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = b·h − π·r² · 2p = 2(b+h−4r) + 2πr
The parts overlap or intersect, so the net area (39.77 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.
