High school (grades 9–10) · TypeLab 2D
Domed Isosceles Trapezoid
Domed Isosceles Trapezoid: a composite plane figure made of a trapezoid with bases 7.6 and 4.4 cm and height 4 cm, joined with a semicircle of radius 2.2 cm. It is a classic high school (grades 9–10) geometry problem (“Euclid & Polygons”). The net area is 31.6 cm² and the total perimeter is 23.13 cm.
Certified measurements (1:1 scale)
- Net area
- 31.6 cm²
- Total perimeter
- 23.13 cm
- Bounding box
- 7.6 × 6.2 cm
- Basic shapes
- 2
Step-by-step decomposition
- 1.Basetrapezoid with bases 7.6 and 4.4 cm and height 4 cm24 cm²
- 2.+semicircle of radius 2.2 cm7.6 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = ½·(B+b)·h + ½·π·(b/2)²
Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 24 + 7.6 = 31.6 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.
