TYPEMATH
C047 · Cutouts & BenchmarksISO 128 · 1:1
Circle Minus Inscribed Square — composite figure at 1:1 scale with dimensions, area 20.09 cm²
A = π·R² − 2·R² = R²·(π − 2)

Middle school · TypeLab 2D

Circle Minus Inscribed Square

Circle Minus Inscribed Square: a composite plane figure made of a circle of radius 4.2 cm, minus a square with side 5.94 cm. It is a classic middle school geometry problem (“Cutouts & Benchmarks”). The net area is 20.09 cm² and the total perimeter is 50.14 cm.

Certified measurements (1:1 scale)

Net area
20.09 cm²
Total perimeter
50.14 cm
Bounding box
8.4 × 8.4 cm
Basic shapes
2
Open in TypeLab 2D

Step-by-step decomposition

  1. 1.Basecircle of radius 4.2 cm55.42 cm²
  2. 2.−square with side 5.94 cm35.28 cm²

Area of each basic shape before the Boolean composition.

How to find the area

Area formula: A = π·R² − 2·R² = R²·(π − 2)

Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 55.42 − 35.28 = 20.09 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.

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