High school (grades 9–10) · TypeLab 2D
Quadrant Minus Semicircle
Quadrant Minus Semicircle: a composite plane figure made of a circular sector of radius 6 cm and angle 90°, minus a semicircle of radius 3 cm. It is a classic high school (grades 9–10) geometry problem (“Sectors & Annuli”). The net area is 14.13 cm² and the total perimeter is 24.45 cm.
Certified measurements (1:1 scale)
- Net area
- 14.13 cm²
- Total perimeter
- 24.45 cm
- Bounding box
- 5.99 × 6 cm
- Basic shapes
- 2
Step-by-step decomposition
- 1.Basecircular sector of radius 6 cm and angle 90°28.27 cm²
- 2.−semicircle of radius 3 cm14.14 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = ¼·π·R² − ½·π·(R/2)² = ⅛·π·R²
Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 28.27 − 14.14 = 14.13 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.
