TYPEMATH
C042 · Arcs & SemicirclesISO 128 · 1:1
Teardrop / Ice-Cream Cone — composite figure at 1:1 scale with dimensions, area 27.25 cm²
A = ½·b·h + ½·π·(b/2)²

Middle school · TypeLab 2D

Teardrop / Ice-Cream Cone

Teardrop / Ice-Cream Cone: a composite plane figure made of a triangle with base 5.2 cm and height 6.4 cm, joined with a semicircle of radius 2.6 cm. It is a classic middle school geometry problem (“Arcs & Semicircles”). The net area is 27.25 cm² and the total perimeter is 21.98 cm.

Certified measurements (1:1 scale)

Net area
27.25 cm²
Total perimeter
21.98 cm
Bounding box
5.2 × 9 cm
Basic shapes
2
Open in TypeLab 2D

Step-by-step decomposition

  1. 1.Basetriangle with base 5.2 cm and height 6.4 cm16.64 cm²
  2. 2.+semicircle of radius 2.6 cm10.62 cm²

Area of each basic shape before the Boolean composition.

How to find the area

Area formula: A = ½·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 = 16.64 + 10.62 = 27.25 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.

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