Table Of The Areas Of Regular Polygons, Each Of Whose Sides Is Unity
Description
This section is from the book "The English And American Mechanic", by B. Frank Van Cleve. Also available from Amazon: The English And American Mechanic.
Table Of The Areas Of Regular Polygons, Each Of Whose Sides Is Unity
Name of Polygon. | No. of BUM. | Apothegm or Perpend'lar. | Area when Side is Unity. | Interior Angle. | Central Angle. |
Triangle..... | 8 | 0.2887 | 0.4330 | 60° 0' | 120° 0' |
Square.... | 4 | 0.5 | 1. | 90 0 | 90 0 |
Pentagon.... | 6 | 0.6882 | 1.7205 | 108 0 | 72 0 |
Hexagon... | 6 | 0.8660 | 2.5981 | 120 0 | 60 0 |
Heptagon.... | 7 | 1.0386 | 128 34 2/7 | 51 25 3/7 | |
Octagon... | 8 | 1.2071 | 4.8284 | 186 0 | 46 0 |
Nonagon..... | 9 | 1.3787 | 61818 | 140 0 | 40 0 |
Decagon...... | 10 | 1.5388 | 7.6942 | 144 0 | 86 0 |
Undecagon.. | 11 | 1.7028 | 9.3656 | 147 16 4/11 | 32 43 7/11 |
Dodecagon... | 12 | 1.8660 | 111962 | 160 0 | 30 0 |
The tabular area of the corresponding polygon multiplied by the square of the side of the given polygon equals the ares of the given polygon.
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