Area of Circular Sector Calculator

Calculate Area of Circular Sector





Formula

The formula to calculate the Area of Circular Sector (A) is:

\[ A = \frac{\text{∠Sector}}{2} \times r^2 \]

Where:

Definition

Area of Circular Sector is the total quantity of plane enclosed by the Circular Sector.

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.

Radius of Circular Sector is the radius of the circle from which the Circular Sector is formed.

How to calculate the Area of Circular Sector

Let's assume the following values:

Using the formula:

\[ A = \frac{\text{∠Sector}}{2} \times r^2 \]

Evaluating:

\[ A = \frac{0.698131700797601}{2} \times 5^2 \]

The Area of Circular Sector is 8.72664625997001 square meters.

Area of Circular Sector Conversion Chart

Angle of Circular Sector (radians) Radius of Circular Sector (meters) Area of Circular Sector (square meters)
0.5 4 4.000000000000000
0.5 4.5 5.062500000000000
0.5 5 6.250000000000000
0.5 5.5 7.562500000000000
0.5 6 9.000000000000000
0.6 4 4.800000000000000
0.6 4.5 6.075000000000000
0.6 5 7.500000000000000
0.6 5.5 9.074999999999999
0.6 6 10.799999999999999
0.7 4 5.600000000000000
0.7 4.5 7.087499999999999
0.7 5 8.750000000000000
0.7 5.5 10.587499999999999
0.7 6 12.600000000000000
0.8 4 6.399999999999999
0.8 4.5 8.100000000000000
0.8 5 10.000000000000000
0.8 5.5 12.100000000000000
0.8 6 14.399999999999999
0.9 4 7.199999999999999
0.9 4.5 9.112499999999999
0.9 5 11.249999999999998
0.9 5.5 13.612499999999999
0.9 6 16.199999999999999
1 4 7.999999999999999
1 4.5 10.124999999999998
1 5 12.499999999999998
1 5.5 15.124999999999998
1 6 17.999999999999996