C069 · Sectors & AnnuliISO 128 · 1:1
Bowtie Double Sector — composite figure at 1:1 scale with dimensions, area 27.69 cm²
A = ½·π·R² · 2p = 4R + πR

High school (grades 9–10) · TypeLab 2D

Bowtie Double Sector

Bowtie Double Sector: a composite plane figure made of a circular sector of radius 4.2 cm and angle 90°, joined with a circular sector of radius 4.2 cm and angle 90°. It is a classic high school (grades 9–10) geometry problem (“Sectors & Annuli”). The net area is 27.69 cm² and the total perimeter is 29.99 cm.

Certified measurements (1:1 scale)

Net area
27.69 cm²
Total perimeter
29.99 cm
Bounding box
5.94 × 8.4 cm
Basic shapes
2
Open in TypeLab 2D

Step-by-step decomposition

  1. 1.Basecircular sector of radius 4.2 cm and angle 90°13.85 cm²
  2. 2.+circular sector of radius 4.2 cm and angle 90°13.85 cm²

Area of each basic shape before the Boolean composition.

How to find the area

Area formula: A = ½·π·R² · 2p = 4R + πR

Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 13.85 + 13.85 = 27.69 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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