# Area of a Sector Calculator

For a mathematics **student**, it may be **easy** to **find** the area of a **figure**. But it is not as **always** because you may have to **find** the area of a specific **sector**. It means that you **need** to find the **area covered** by a specific **patch** of the figure. To make this process **simple** and accurate, you should **use** the **area of a sector calculator**.

This online **handy** tool can offer you a **reliable** solution to your **problem**. You can easily use this maths calculator and find the area for any **particular** patch of the figure quickly. It will **enable** you to be **comfortable** while completing your **assignments**. Want to **learn** more about it? Keep **reading** as we are going to tell you about this **tool** in detail.

**Table of Contents**

## What is the area of a sector?

To **understand** the area of a **sector**, you should first **need** to **learn** about what is a **sector**. The sector is a **specific** part of a **figure** that **spreads** at least in **two** dimensions. **For example**, if half of the **upper** part of the circle is taken **separately**, that part will be called a **sector**.

The **area** of a sector is the **region** that is **covered** by any **specific** part of a **figure**. Normally, this is the **region** that comes under the **boundaries** of the **sector** when it is **formed** by two radii of a **circle**. In simple words, when two **radii** are joined with points on the **circumference**, they cover a **specific** region that we call the **area of a sector**.

### What is the area of a sector formula?

Like other calculations **related** to a **circle**, the **area** of a sector **also** has a particular **formula** that you have to **follow**. Here is the **general** formula you need to **follow** for this calculation.

Area of a sector = r^{2}𝜭/2 square units

Here:

- “r” represents the radius of the circle.
- “𝜭” represents the angle between two radii making a sector.

### How to find the area of a sector?

By using the **above** formula, you can easily **calculate** the area of a **sector**. But if you **don’t** know, you should follow this **example**. It will help you in understanding the **process** properly.

**Example 1:**

Find the area of a sector if the measure of the radius is 5 meters and the angle between radii is 60 degrees.

**Solution:**

As we know the formula for the area of a sector calculation is:

Area of a sector = r^{2}𝜭/2 square units

By putting the values,

= (3 x 8) /2 m^{2}

Area = 13.1 m^{2}

### How to use the area of a sector calculator?

If you don’t want to do this manually or have large dimensions, you can use this tool by Calculator’s Bag. Here are the steps that you have to follow.

- Enter the measure of the angle
- Enter the value of the radius
- Insert the measure of the diameter
- This tool will automatically show you the sector area, arc length, and chord length for that circle.

### FAQ | Area of a sector

**What is a sector?**

A sector is a specific part of a circle that forms when two radii are joined with the circumference. It involves the length of the chord, angle, and radius of the circle.

**How do you find the area of a sector in radians? **

The area of the sector can’t be found in radians because it is a measurement, not an angle. It is measured in square units.

**What is the area of sector in math? **

The area of a sector is the region that is covered by a specific part of a circle. Keep in mind that a semi-circle is not a sector.

**What is the area of the sector if the diameter is 12 cm and the angle is 60? **

If the diameter is 12 cm and the angle is 60, the area of a sector will be 18.85 square cm.

**How to find the radius when given the area of a sector and arc length? **

We can use the following formula to find the radius if the arc length and area are given:

R = 2A/L