Area of Circular Sector given Arc Length Calculator

Calculate Area of Circular Sector





Formula

The formula to calculate the Area of Circular Sector given Arc Length is:

\[ A = \frac{r \cdot l_{\text{Arc}}}{2} \]

Definition

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. The Arc Length of a Circular Sector is the length of the curved boundary edge of the Circular Sector.

Example Calculation

Let's assume the following values:

Using the formula:

\[ A = \frac{5 \cdot 4}{2} = 10 \]

The Area of the Circular Sector is 10 square meters.

Conversion Chart

Radius (meters) Arc Length (meters) Area (square meters)
4 4 8.000000000000000
4.5 4 9.000000000000000
5 4 10.000000000000000
5.5 4 11.000000000000000
6 4 12.000000000000000