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# Area of Sector Calculator

Cuemath's Area of a Sector Calculator' is an online tool that calculates the area of a sector.

## What Is Area of a Sector Calculator Calculator?

A sector is a part of a circle whose radius is equal to the radius of the circle. A semicircle is also a sector having the centre angle of 180°. Cuemath's Area of a Sector Calculator' is an online tool that calculates the area of a sector within a few seconds.

## How to Use the Area of a Sector Calculator Calculator?

Please follow the steps mentioned below to use the area of a sector calculator.

**Step 1:**Enter the value of radius and angle formed at centre of the circle by the sector.**Step 2:**Click on "**Calculate**" to find the area of the sector.**Step 3:**Click on "**Reset**" to reset the fields and enter the new values.

## How to Calculate the Area of a Sector?

If the radius of the circle is (r) and the angle of the sector is (**θ**), then the formula used to calculate the area of the sector is:

### Area of sector (A) = (**θ****/****3****60****°**) × **п**r^{2}

**Solved Example:**

Find the area of a sector whose radius and angle formed at the centre are 7 units and 60° respectively. Use (**п =3.14**)

**Solution:**

Substitute the values of radius and angle (**θ**) in the formula of the area of a sector:

Area of the sector = (**θ****/****3****60****°**) × **п**r^{2}

= (**60****°/****3****60****°**) × **3.14 **×** 7 ^{2}**

= 1/6 × 153.86

= 25.67 square units

Therefore, the area of the sector is 25.67 square units.

Now, use the calculator and find the area of the sector whose radius and angle are as follows.

- Radius = 20 units, Angle = 75
**°** - Radius = 189 units, Angle = 128
**°**

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