High school (grades 9–10) · TypeLab 2D
Lobed Rhombus
Lobed Rhombus: a composite plane figure made of a rhombus with diagonals 6 and 4 cm, joined with a semicircle of radius 1.8 cm, joined with a semicircle of radius 1.8 cm, joined with a semicircle of radius 1.8 cm, joined with a semicircle of radius 1.8 cm. It is a classic high school (grades 9–10) geometry problem (“Euclid & Polygons”). The net area is 32.41 cm² and the total perimeter is 22.65 cm.
Certified measurements (1:1 scale)
- Net area
- 32.41 cm²
- Total perimeter
- 22.65 cm
- Bounding box
- 6.61 × 5.61 cm
- Basic shapes
- 5
Step-by-step decomposition
- 1.Baserhombus with diagonals 6 and 4 cm12 cm²
- 2.+semicircle of radius 1.8 cm5.11 cm²
- 3.+semicircle of radius 1.8 cm5.11 cm²
- 4.+semicircle of radius 1.8 cm5.11 cm²
- 5.+semicircle of radius 1.8 cm5.11 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = ½·D·d + 2·π·(l/2)² con l = ½√(D²+d²)
Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 12 + 5.11 + 5.11 + 5.11 + 5.11 = 32.41 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.
