## Area of Sector Calculator

## How to use Area of Sector Calculator?

**Step1:- **At first Input the Radius of sector (r) in Area of Sector Calculator.

**Note* **Choose the unit of measurement for the radius from the dropdown list next to it (in meters, feet, centimeters, or inches).

**Step2:-** Now Input the Central Angle (θ):

Enter the central angle of the sector in degrees (the angle formed between the two radii at the center of the circle). The value should be between 0 to 360 degrees.

**Step3:- **Click the** “Calculate” **Button:

Once you have entered all the required values, click the **“Calculate” **button.

**Step5:-** Finally you will be able to View the Results of **Area of Sector Calculator**.

The calculator will display the area of the sector in the following units:**Square metersDhur (a unit of area used in Nepal)Aana (another unit of area used in Nepal)Square feet**

## Numerical to calculate **Area of Sector** of circle

To calculate the area of a sector of a circle, we can use the following formula:

Area of Sector= (360/*θ*) × *π* × *r*^{2}

Where:

*θ*is the central angle in degrees.*r*is the radius of the circle.- 𝜋 is approximately 3.14159.

Where:

*θ*is the central angle in degrees.- (r) is the radius of the circle.
- 𝜋 is approximately 3.14159.

Given:

- Radius ((r)) = 21 feet
- Central angle (
*θ*) = 70 degrees

Let’s use these values into the formula:

Area of Sector= (360/*θ*) × *π* × *r*^{2}

= 360/70 x 3.14159 x 21^{2}

=0.1944×*π*×441

**Using, 𝜋≈3.14159**

Area of Sector≈0.1944×3.14159×441

Area of Sector≈269.52 square feet

Thus, the area of the sector is approximately **269.52 square feet.**