High school (grades 9–10) · TypeLab 2D
90° Circular Segment
90° Circular Segment: a composite plane figure made of a circle of radius 4.8 cm, intersected with a rectangle 10 × 3 cm. It is a classic high school (grades 9–10) geometry problem (“Sectors & Annuli”). The net area is 6.56 cm² and the total perimeter is 14.33 cm.
Certified measurements (1:1 scale)
- Net area
- 6.56 cm²
- Total perimeter
- 14.33 cm
- Bounding box
- 6.79 × 1.41 cm
- Basic shapes
- 2
Step-by-step decomposition
- 1.Basecircle of radius 4.8 cm72.38 cm²
- 2.∩rectangle 10 × 3 cm30 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = ¼·π·R² − ½·R² = ½·R²·(π/2 − 1)
The parts overlap or intersect, so the net area (6.56 cm²) comes from the exact Boolean operation rather than from a plain sum of the part areas.
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.
