The formula to calculate the Area of a Kite given its inradius is:
\[ \text{Area} = \frac{\text{Inradius} \times \text{Perimeter}}{2} \]
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, with all four sides of the kite touching the circle. The Perimeter of a Kite is the total length of all the boundary lines of the kite.
Let's assume the following values:
Using the formula:
\[ \text{Area} = \frac{6 \times 55}{2} \approx 165 \, \text{square meters} \]
The Area of the Kite is approximately 165 square meters.
| Inradius (meters) | Perimeter (meters) | Area (square meters) |
|---|---|---|
| 5 | 55 | 137.500000000000000 |
| 5.5 | 55 | 151.250000000000000 |
| 6 | 55 | 165.000000000000000 |
| 6.5 | 55 | 178.750000000000000 |
| 7 | 55 | 192.500000000000000 |