TypeLab 2D · 100 figures
Composite figures: area and perimeter
The 100 composite plane shapes that appear most often in math textbooks, worksheets and exams — from the simple house shape to the lune of Hippocrates and the Reuleaux triangle. Each figure is built at true 1:1 scale with TypeLab 2D Boolean geometry (union, difference, intersection): you get certified area and perimeter, the breakdown into basic shapes, and a ready-to-use drawing in SVG or editable PowerPoint.
Primary school20 figures
Additive Figures
Orthogonal Profiles
Middle school32 figures
Composite Polygons
C021 · A = 27.3 cm²Decomposed Right Trapezoid
C022 · A = 25.6 cm²Decomposed Isosceles Trapezoid
C023 · A = 33.04 cm²Bicone Double Trapezoid
C024 · A = 29.24 cm²Four-Pointed Star
C025 · A = 29.93 cm²Six-Pointed Star
C026 · A = 38.24 cm²Chamfered Square Octagon
C027 · A = 26.36 cm²Stepped Z-Profile
C028 · A = 29.04 cm²Three-Step Staircase
C029 · A = 21.28 cm²Geometric Kite
C030 · A = 29.6 cm²Double-Pointed Hexagon
C031 · A = 37.24 cm²Double V-Notched Plate
Arcs & Semicircles
C032 · A = 45.33 cm²Norman Window
C033 · A = 46.11 cm²Portal with Rose Window
C034 · A = 37.36 cm²Horizontal Stadium
C035 · A = 36.52 cm²Vertical Capsule
C036 · A = 33.14 cm²Running Track Ring
C037 · A = 37.77 cm²Geometric Heart
C038 · A = 31.18 cm²Equilateral Trefoil
C039 · A = 45.33 cm²Quatrefoil
C040 · A = 30.6 cm²Five-Petal Rosette
C041 · A = 30.34 cm²Hexagonal Flower
C042 · A = 27.25 cm²Teardrop / Ice-Cream Cone
Cutouts & Benchmarks
C043 · A = 42.7 cm²Circular Annulus
C044 · A = 9.95 cm²Four-Arc Star (Invalsi)
C045 · A = 20.38 cm²Concave Lens Block
C046 · A = 21.63 cm²Square Minus Inscribed Circle
C047 · A = 20.09 cm²Circle Minus Inscribed Square
C048 · A = 29.71 cm²Twin-Hole Plate
C049 · A = 34.5 cm²Hexagonal Nut
C050 · A = 39.77 cm²Corner-Scalloped Plaque
C051 · A = 38.83 cm²Four-Hole Square Flange
C052 · A = 26.15 cm²Semicircle with Circular Hole
High school (grades 9–10)26 figures
Structural Sections
C053 · A = 27.84 cm²I-Beam Cross Section
C054 · A = 25.6 cm²C-Channel Section (UPN)
C055 · A = 18.56 cm²Unequal Angle Section
C056 · A = 26.64 cm²Inverted T-Beam
C057 · A = 28.8 cm²Hollow Rectangular Section
C058 · A = 32.74 cm²Hollow Hexagonal Section
C059 · A = 55.57 cm²Four-Bolt Circular Flange
C060 · A = 35.82 cm²Slotted Mechanical Plate
C061 · A = 33.55 cm²Rounded Lug Bracket
Sectors & Annuli
C062 · A = 16.08 cm²60° Annular Sector
C063 · A = 23.11 cm²90° Annular Quadrant
C064 · A = 23.44 cm²120° Annular Sector
C065 · A = 25.55 cm²Semicircular Arch Ring
C066 · A = 6.56 cm²90° Circular Segment
C067 · A = 12.05 cm²Semicircle Minus Right Triangle
C068 · A = 14.13 cm²Quadrant Minus Semicircle
C069 · A = 27.69 cm²Bowtie Double Sector
C070 · A = 46.93 cm²Eccentric Ring
Euclid & Polygons
C071 · A = 44.64 cm²Right Triangle with Leg Squares
C072 · A = 36.89 cm²Right Triangle with 3 Semicircles
C073 · A = 32.41 cm²Lobed Rhombus
C074 · A = 31.6 cm²Domed Isosceles Trapezoid
C075 · A = 39.2 cm²Octagon with Square Cutout
C076 · A = 35.03 cm²Scalloped Hexagonal Gear
C077 · A = 36.61 cm²Hollow Regular Pentagon
C078 · A = 39.22 cm²Dodecagon Minus Hexagon
High school (grades 11–12)22 figures
Archimedes & Hippocrates
C079 · A = 16.61 cm²Symmetric Arbelos of Archimedes
C080 · A = 14.13 cm²Asymmetric Arbelos of Archimedes
C081 · A = 34.19 cm²Salinon of Archimedes
C082 · A = 14.44 cm²Quadrable Lune of Hippocrates
C083 · A = 8.64 cm²Twin Lunes of Hippocrates
C084 · A = 38.82 cm²Circular Crescent Lune
C085 · A = 39.54 cm²Curvilinear Double-Axe
Lenses & Reuleaux
C086 · A = 28.27 cm²Vesica Piscis Lens
C087 · A = 19.09 cm²Asymmetric Biconvex Lens
C088 · A = 22.07 cm²Reuleaux Triangle
C089 · A = 17.87 cm²Diagonal Square Petal
C090 · A = 36.18 cm²Perforated Vesica Eye
C091 · A = 42.76 cm²Pointed Gothic Window
C092 · A = 24.23 cm²Maltese / Pattee Cross
C093 · A = 42.92 cm²Truncated Circle Band
Calculus & Optimization
C094 · A = 41.27 cm²Max-Light Norman Window
C095 · A = 32.08 cm²Hydraulic Channel Cross Section
C096 · A = 41.63 cm²Circular Park Divided by Avenue
C097 · A = 10.95 cm²Quadrant Minus Inscribed Rectangle
C098 · A = 36.97 cm²Single-Span Arch Bridge
C099 · A = 39.66 cm²Twin-Arch Roman Viaduct
C100 · A = 16.93 cm²Tunnel Lining Cross Section