The formula to calculate the Inscribed Angle of Circle given Area of Sector is:
\[ \angle_{\text{Inscribed}} = \pi - \frac{A}{r^2} \]
The Inscribed Angle of a Circle is the angle formed in the interior of a circle when two secant lines intersect on the Circle. The Area of a Circular Sector is the total quantity of plane enclosed by the Circular Sector. The Radius of a Circular Sector is the radius of the circle from which the Circular Sector is formed.
Let's assume the following values:
Using the formula:
\[ \angle_{\text{Inscribed}} = \pi - \frac{9}{5^2} = 2.78159265358979 \]
The Inscribed Angle of the Circle is 2.78159265358979 radians.
| Area of Circular Sector (square meters) | Radius of Circular Sector (meters) | Inscribed Angle (radians) |
|---|---|---|
| 8 | 5 | 2.821592653589793 |
| 8.5 | 5 | 2.801592653589793 |
| 9 | 5 | 2.781592653589793 |
| 9.5 | 5 | 2.761592653589793 |
| 10 | 5 | 2.741592653589793 |