Middle school · TypeLab 2D
Hexagonal Flower
Hexagonal Flower: a composite plane figure made of a regular hexagon with side 2.6 cm, joined with a semicircle of radius 1.3 cm, joined with a semicircle of radius 1.3 cm, joined with a semicircle of radius 1.3 cm, joined with a semicircle of radius 1.3 cm, joined with a semicircle of radius 1.3 cm, joined with a semicircle of radius 1.3 cm, minus a circle of radius 1 cm. It is a classic middle school geometry problem (“Arcs & Semicircles”). The net area is 30.34 cm² and the total perimeter is 30.78 cm, including 6.28 cm along the inner hole.
Certified measurements (1:1 scale)
- Net area
- 30.34 cm²
- Total perimeter
- 30.78 cm
- Outer boundary
- 24.5 cm
- Hole boundaries
- 6.28 cm
- Bounding box
- 6.5 × 7.1 cm
- Basic shapes
- 8
Step-by-step decomposition
- 1.Baseregular hexagon with side 2.6 cm17.56 cm²
- 2.+semicircle of radius 1.3 cm2.65 cm²
- 3.+semicircle of radius 1.3 cm2.65 cm²
- 4.+semicircle of radius 1.3 cm2.65 cm²
- 5.+semicircle of radius 1.3 cm2.65 cm²
- 6.+semicircle of radius 1.3 cm2.65 cm²
- 7.+semicircle of radius 1.3 cm2.65 cm²
- 8.−circle of radius 1 cm3.14 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = (3√3/2)·l² + 3·π·(l/2)² − π·r₀²
Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 17.56 + 2.65 + 2.65 + 2.65 + 2.65 + 2.65 + 2.65 − 3.14 = 30.34 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.
