Angle of Circular Sector given Area of Circular Sector Calculator

Calculate Angle





Formula

The formula to calculate the Angle of Circular Sector (∠Sector) is:

\[ \angle_{\text{Sector}} = \frac{2 \cdot A}{r^2} \]

Definition

Angle of 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. Area of Circular Sector is the total quantity of plane enclosed by the Circular Sector. Radius of Circular Sector is the radius of the circle from which the Circular Sector is formed.

Example Calculation

Let's assume the following values:

Using the formula:

\[ \angle_{\text{Sector}} = \frac{2 \cdot 9}{5^2} \approx 0.72 \]

The Angle of the Circular Sector is approximately 0.72 Radian.

Conversion Chart

Area (Square Meter) Radius (Meter) Angle (Radian)
1 5 0.080000000000000
2 5 0.160000000000000
3 5 0.240000000000000
4 5 0.320000000000000
5 5 0.400000000000000
6 5 0.480000000000000
7 5 0.560000000000000
8 5 0.640000000000000
9 5 0.720000000000000
10 5 0.800000000000000