High school (grades 11–12) · TypeLab 2D
Hydraulic Channel Cross Section
Hydraulic Channel Cross Section: a composite plane figure made of a trapezoid with bases 8 and 4.8 cm and height 3.6 cm, joined with a semicircle of radius 2.4 cm. It is a classic high school (grades 11–12) geometry problem (“Calculus & Optimization”). The net area is 32.08 cm² and the total perimeter is 23.42 cm.
Certified measurements (1:1 scale)
- Net area
- 32.08 cm²
- Total perimeter
- 23.42 cm
- Bounding box
- 8 × 6 cm
- Basic shapes
- 2
Step-by-step decomposition
- 1.Basetrapezoid with bases 8 and 4.8 cm and height 3.6 cm23.04 cm²
- 2.+semicircle of radius 2.4 cm9.05 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 · R_idr = A/P_bagnato
Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 23.04 + 9.05 = 32.08 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.
