# 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.

## 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 = r2 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 = r2 𝜭/2 square units


By putting the values,

= (3 x 8) /2 m2

Area = 13.1 m2


### 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