C067 · Sectors & AnnuliISO 128 · 1:1
Semicircle Minus Right Triangle — composite figure at 1:1 scale with dimensions, area 12.05 cm²
A = ½·π·R² − R² = R²·(π/2 − 1)

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

Semicircle Minus Right Triangle

Semicircle Minus Right Triangle: a composite plane figure made of a semicircle of radius 4.6 cm, minus a triangle with base 9.2 cm and height 4.6 cm. It is a classic high school (grades 9–10) geometry problem (“Sectors & Annuli”). The net area is 12.05 cm² and the total perimeter is 27.46 cm.

Certified measurements (1:1 scale)

Net area
12.05 cm²
Total perimeter
27.46 cm
Bounding box
9.2 × 4.6 cm
Basic shapes
2
Open in TypeLab 2D

Step-by-step decomposition

  1. 1.Basesemicircle of radius 4.6 cm33.24 cm²
  2. 2.−triangle with base 9.2 cm and height 4.6 cm21.16 cm²

Area of each basic shape before the Boolean composition.

How to find the area

Area formula: A = ½·π·R² − R² = R²·(π/2 − 1)

Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 33.24 − 21.16 = 12.05 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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