The formula to calculate the Area of a Circle given the Area of a Sector is:
\[ A_{Circle} = \frac{2 \pi A}{\angle_{Sector}} \]
Where:
The Area of a Circle is the total quantity of plane enclosed by the circle from which the Circular Sector is formed.
The Area of a Circular Sector is the total quantity of plane enclosed by the Circular Sector.
The Angle of a Circular Sector is the angle between the radial edges of a Circular Sector or the central angle in which a circle is cut to form the Circular Sector.
Let's assume the following values:
Using the formula:
\[ A_{Circle} = \frac{2 \pi \cdot 9}{0.698131700797601} \]
Evaluating:
\[ A_{Circle} = \frac{2 \pi \cdot 9}{0.698131700797601} \]
The Area of the Circle is approximately 81.0000000000152 Square Meter.
| Area of Circular Sector (Square Meter) | Angle of Circular Sector (Radian) | Area of Circle (Square Meter) |
|---|---|---|
| 8 | 0.6 | 83.775804095727821 |
| 8 | 0.7 | 71.807832082052414 |
| 8 | 0.8 | 62.831853071795869 |
| 8.5 | 0.6 | 89.011791851710811 |
| 8.5 | 0.7 | 76.295821587180697 |
| 8.5 | 0.8 | 66.758843888783119 |
| 9 | 0.6 | 94.247779607693801 |
| 9 | 0.7 | 80.783811092308966 |
| 9 | 0.8 | 70.685834705770347 |
| 9.5 | 0.6 | 99.483767363676776 |
| 9.5 | 0.7 | 85.271800597437249 |
| 9.5 | 0.8 | 74.612825522757589 |
| 10 | 0.6 | 104.719755119659780 |
| 10 | 0.7 | 89.759790102565518 |
| 10 | 0.8 | 78.539816339744831 |