The formula to calculate the Area of a Kite given Sides and Symmetry Angle is:
\[ A = S_{Long} \cdot S_{Short} \cdot \sin(\angle_{Symmetry}) \]
Where:
The Area of a Kite is the total quantity of plane enclosed by the boundary of the Kite.
The Long Side of a Kite is the length of any side in the pair of equal sides of the Kite, which are relatively longer in length compared to the other pair of sides.
The Short Side of a Kite is the length of any side in the pair of equal sides of the Kite, which are relatively shorter in length compared to the other pair of sides.
The Symmetry Angle of a Kite is the angle made by any pair of unequal sides of the Kite or any of the pair of equal angles which are on the two sides of the symmetry diagonal.
Let's assume the following values:
Using the formula:
\[ A = 15 \cdot 13 \cdot \sin(1.0471975511964) \]
Evaluating:
\[ A = 15 \cdot 13 \cdot \sin(1.0471975511964) \]
The Area of the Kite is approximately 168.874953737946 Square Meter.
| Long Side of Kite (Meter) | Short Side of Kite (Meter) | Symmetry Angle of Kite (Radian) | Area of Kite (Square Meter) |
|---|---|---|---|
| 10 | 8 | 0.5 | 38.354043088336240 |
| 10 | 8 | 0.75 | 54.531100801866728 |
| 10 | 8 | 1 | 67.317678784631724 |
| 10 | 8 | 1.25 | 75.918769548446903 |
| 10 | 8 | 1.5 | 79.799598928324357 |
| 10 | 10 | 0.5 | 47.942553860420304 |
| 10 | 10 | 0.75 | 68.163876002333410 |
| 10 | 10 | 1 | 84.147098480789651 |
| 10 | 10 | 1.25 | 94.898461935558615 |
| 10 | 10 | 1.5 | 99.749498660405450 |
| 10 | 12 | 0.5 | 57.531064632504361 |
| 10 | 12 | 0.75 | 81.796651202800092 |
| 10 | 12 | 1 | 100.976518176947579 |
| 10 | 12 | 1.25 | 113.878154322670341 |
| 10 | 12 | 1.5 | 119.699398392486529 |
| 10 | 14 | 0.5 | 67.119575404588417 |
| 10 | 14 | 0.75 | 95.429426403266774 |
| 10 | 14 | 1 | 117.805937873105506 |
| 10 | 14 | 1.25 | 132.857846709782081 |
| 10 | 14 | 1.5 | 139.649298124567622 |
| 10 | 16 | 0.5 | 76.708086176672481 |
| 10 | 16 | 0.75 | 109.062201603733456 |
| 10 | 16 | 1 | 134.635357569263448 |
| 10 | 16 | 1.25 | 151.837539096893806 |
| 10 | 16 | 1.5 | 159.599197856648715 |
| 12 | 8 | 0.5 | 46.024851706003489 |
| 12 | 8 | 0.75 | 65.437320962240079 |
| 12 | 8 | 1 | 80.781214541558057 |
| 12 | 8 | 1.25 | 91.102523458136275 |
| 12 | 8 | 1.5 | 95.759518713989223 |
| 12 | 10 | 0.5 | 57.531064632504361 |
| 12 | 10 | 0.75 | 81.796651202800092 |
| 12 | 10 | 1 | 100.976518176947579 |
| 12 | 10 | 1.25 | 113.878154322670341 |
| 12 | 10 | 1.5 | 119.699398392486529 |
| 12 | 12 | 0.5 | 69.037277559005233 |
| 12 | 12 | 0.75 | 98.155981443360119 |
| 12 | 12 | 1 | 121.171821812337100 |
| 12 | 12 | 1.25 | 136.653785187204420 |
| 12 | 12 | 1.5 | 143.639278070983835 |
| 12 | 14 | 0.5 | 80.543490485506112 |
| 12 | 14 | 0.75 | 114.515311683920132 |
| 12 | 14 | 1 | 141.367125447726607 |
| 12 | 14 | 1.25 | 159.429416051738485 |
| 12 | 14 | 1.5 | 167.579157749481141 |
| 12 | 16 | 0.5 | 92.049703412006977 |
| 12 | 16 | 0.75 | 130.874641924480159 |
| 12 | 16 | 1 | 161.562429083116115 |
| 12 | 16 | 1.25 | 182.205046916272551 |
| 12 | 16 | 1.5 | 191.519037427978446 |
| 14 | 8 | 0.5 | 53.695660323670737 |
| 14 | 8 | 0.75 | 76.343541122613416 |
| 14 | 8 | 1 | 94.244750298484405 |
| 14 | 8 | 1.25 | 106.286277367825647 |
| 14 | 8 | 1.5 | 111.719438499654103 |
| 14 | 10 | 0.5 | 67.119575404588417 |
| 14 | 10 | 0.75 | 95.429426403266774 |
| 14 | 10 | 1 | 117.805937873105506 |
| 14 | 10 | 1.25 | 132.857846709782081 |
| 14 | 10 | 1.5 | 139.649298124567622 |
| 14 | 12 | 0.5 | 80.543490485506112 |
| 14 | 12 | 0.75 | 114.515311683920132 |
| 14 | 12 | 1 | 141.367125447726607 |
| 14 | 12 | 1.25 | 159.429416051738485 |
| 14 | 12 | 1.5 | 167.579157749481141 |
| 14 | 14 | 0.5 | 93.967405566423793 |
| 14 | 14 | 0.75 | 133.601196964573489 |
| 14 | 14 | 1 | 164.928313022347709 |
| 14 | 14 | 1.25 | 186.000985393694890 |
| 14 | 14 | 1.5 | 195.509017374394659 |
| 14 | 16 | 0.5 | 107.391320647341473 |
| 14 | 16 | 0.75 | 152.687082245226833 |
| 14 | 16 | 1 | 188.489500596968810 |
| 14 | 16 | 1.25 | 212.572554735651295 |
| 14 | 16 | 1.5 | 223.438876999308206 |
| 16 | 8 | 0.5 | 61.366468941337985 |
| 16 | 8 | 0.75 | 87.249761282986768 |
| 16 | 8 | 1 | 107.708286055410753 |
| 16 | 8 | 1.25 | 121.470031277515034 |
| 16 | 8 | 1.5 | 127.679358285318969 |
| 16 | 10 | 0.5 | 76.708086176672481 |
| 16 | 10 | 0.75 | 109.062201603733456 |
| 16 | 10 | 1 | 134.635357569263448 |
| 16 | 10 | 1.25 | 151.837539096893806 |
| 16 | 10 | 1.5 | 159.599197856648715 |
| 16 | 12 | 0.5 | 92.049703412006977 |
| 16 | 12 | 0.75 | 130.874641924480159 |
| 16 | 12 | 1 | 161.562429083116115 |
| 16 | 12 | 1.25 | 182.205046916272551 |
| 16 | 12 | 1.5 | 191.519037427978446 |
| 16 | 14 | 0.5 | 107.391320647341473 |
| 16 | 14 | 0.75 | 152.687082245226833 |
| 16 | 14 | 1 | 188.489500596968810 |
| 16 | 14 | 1.25 | 212.572554735651295 |
| 16 | 14 | 1.5 | 223.438876999308206 |
| 16 | 16 | 0.5 | 122.732937882675969 |
| 16 | 16 | 0.75 | 174.499522565973535 |
| 16 | 16 | 1 | 215.416572110821505 |
| 16 | 16 | 1.25 | 242.940062555030067 |
| 16 | 16 | 1.5 | 255.358716570637938 |
| 18 | 8 | 0.5 | 69.037277559005233 |
| 18 | 8 | 0.75 | 98.155981443360119 |
| 18 | 8 | 1 | 121.171821812337100 |
| 18 | 8 | 1.25 | 136.653785187204420 |
| 18 | 8 | 1.5 | 143.639278070983835 |
| 18 | 10 | 0.5 | 86.296596948756545 |
| 18 | 10 | 0.75 | 122.694976804200138 |
| 18 | 10 | 1 | 151.464777265421361 |
| 18 | 10 | 1.25 | 170.817231484005504 |
| 18 | 10 | 1.5 | 179.549097588729808 |
| 18 | 12 | 0.5 | 103.555916338507842 |
| 18 | 12 | 0.75 | 147.233972165040171 |
| 18 | 12 | 1 | 181.757732718505650 |
| 18 | 12 | 1.25 | 204.980677780806616 |
| 18 | 12 | 1.5 | 215.458917106475752 |
| 18 | 14 | 0.5 | 120.815235728259154 |
| 18 | 14 | 0.75 | 171.772967525880205 |
| 18 | 14 | 1 | 212.050688171589911 |
| 18 | 14 | 1.25 | 239.144124077607728 |
| 18 | 14 | 1.5 | 251.368736624221725 |
| 18 | 16 | 0.5 | 138.074555118010466 |
| 18 | 16 | 0.75 | 196.311962886720238 |
| 18 | 16 | 1 | 242.343643624674201 |
| 18 | 16 | 1.25 | 273.307570374408840 |
| 18 | 16 | 1.5 | 287.278556141967670 |
| 20 | 8 | 0.5 | 76.708086176672481 |
| 20 | 8 | 0.75 | 109.062201603733456 |
| 20 | 8 | 1 | 134.635357569263448 |
| 20 | 8 | 1.25 | 151.837539096893806 |
| 20 | 8 | 1.5 | 159.599197856648715 |
| 20 | 10 | 0.5 | 95.885107720840608 |
| 20 | 10 | 0.75 | 136.327752004666820 |
| 20 | 10 | 1 | 168.294196961579303 |
| 20 | 10 | 1.25 | 189.796923871117230 |
| 20 | 10 | 1.5 | 199.498997320810901 |
| 20 | 12 | 0.5 | 115.062129265008721 |
| 20 | 12 | 0.75 | 163.593302405600184 |
| 20 | 12 | 1 | 201.953036353895158 |
| 20 | 12 | 1.25 | 227.756308645340681 |
| 20 | 12 | 1.5 | 239.398796784973058 |
| 20 | 14 | 0.5 | 134.239150809176834 |
| 20 | 14 | 0.75 | 190.858852806533548 |
| 20 | 14 | 1 | 235.611875746211012 |
| 20 | 14 | 1.25 | 265.715693419564161 |
| 20 | 14 | 1.5 | 279.298596249135244 |
| 20 | 16 | 0.5 | 153.416172353344962 |
| 20 | 16 | 0.75 | 218.124403207466912 |
| 20 | 16 | 1 | 269.270715138526896 |
| 20 | 16 | 1.25 | 303.675078193787613 |
| 20 | 16 | 1.5 | 319.198395713297430 |