High school (grades 11–12) · TypeLab 2D
Quadrant Minus Inscribed Rectangle
Quadrant Minus Inscribed Rectangle: a composite plane figure made of a circular sector of radius 6.2 cm and angle 90°, minus a square with side 4.38 cm. It is a classic high school (grades 11–12) geometry problem (“Calculus & Optimization”). The net area is 10.95 cm² and the total perimeter is 22.14 cm.
Certified measurements (1:1 scale)
- Net area
- 10.95 cm²
- Total perimeter
- 22.14 cm
- Bounding box
- 6.2 × 6.2 cm
- Basic shapes
- 2
Step-by-step decomposition
- 1.Basecircular sector of radius 6.2 cm and angle 90°30.19 cm²
- 2.−square with side 4.38 cm19.22 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: Max area inscritta per θ = 45°: A_res = ¼(π−2)R²
Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 30.19 − 19.22 = 10.95 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.
