The formula to calculate the Long Side of a Kite given Area, Inradius, and Short Side is:
\[ S_{Long} = \frac{A}{r_i} - S_{Short} \]
Where:
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 Area of a Kite is the total quantity of plane enclosed by the boundary of the Kite.
The Inradius of a Kite is the radius of the incircle or the circle inscribed within the Kite, touching all four 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.
Let's assume the following values:
Using the formula:
\[ S_{Long} = \frac{170}{6} - 13 \]
Evaluating:
\[ S_{Long} = \frac{170}{6} - 13 \]
The Long Side of the Kite is approximately 15.3333333333333 Meter.
| Area of Kite (Square Meter) | Inradius of Kite (Meter) | Short Side of Kite (Meter) | Long Side of Kite (Meter) |
|---|---|---|---|
| 150 | 5 | 12 | 18.000000000000000 |
| 150 | 5 | 13 | 17.000000000000000 |
| 150 | 5 | 14 | 16.000000000000000 |
| 150 | 6 | 12 | 13.000000000000000 |
| 150 | 6 | 13 | 12.000000000000000 |
| 150 | 6 | 14 | 11.000000000000000 |
| 150 | 7 | 12 | 9.428571428571427 |
| 150 | 7 | 13 | 8.428571428571427 |
| 150 | 7 | 14 | 7.428571428571427 |
| 160 | 5 | 12 | 20.000000000000000 |
| 160 | 5 | 13 | 19.000000000000000 |
| 160 | 5 | 14 | 18.000000000000000 |
| 160 | 6 | 12 | 14.666666666666668 |
| 160 | 6 | 13 | 13.666666666666668 |
| 160 | 6 | 14 | 12.666666666666668 |
| 160 | 7 | 12 | 10.857142857142858 |
| 160 | 7 | 13 | 9.857142857142858 |
| 160 | 7 | 14 | 8.857142857142858 |
| 170 | 5 | 12 | 22.000000000000000 |
| 170 | 5 | 13 | 21.000000000000000 |
| 170 | 5 | 14 | 20.000000000000000 |
| 170 | 6 | 12 | 16.333333333333332 |
| 170 | 6 | 13 | 15.333333333333332 |
| 170 | 6 | 14 | 14.333333333333332 |
| 170 | 7 | 12 | 12.285714285714285 |
| 170 | 7 | 13 | 11.285714285714285 |
| 170 | 7 | 14 | 10.285714285714285 |
| 180 | 5 | 12 | 24.000000000000000 |
| 180 | 5 | 13 | 23.000000000000000 |
| 180 | 5 | 14 | 22.000000000000000 |
| 180 | 6 | 12 | 18.000000000000000 |
| 180 | 6 | 13 | 17.000000000000000 |
| 180 | 6 | 14 | 16.000000000000000 |
| 180 | 7 | 12 | 13.714285714285715 |
| 180 | 7 | 13 | 12.714285714285715 |
| 180 | 7 | 14 | 11.714285714285715 |
| 190 | 5 | 12 | 26.000000000000000 |
| 190 | 5 | 13 | 25.000000000000000 |
| 190 | 5 | 14 | 24.000000000000000 |
| 190 | 6 | 12 | 19.666666666666668 |
| 190 | 6 | 13 | 18.666666666666668 |
| 190 | 6 | 14 | 17.666666666666668 |
| 190 | 7 | 12 | 15.142857142857142 |
| 190 | 7 | 13 | 14.142857142857142 |
| 190 | 7 | 14 | 13.142857142857142 |