It is possible to calculate the **centroid or centre of gravity** of a **circular sector**. There are two highly important parameters one needs to know to compute the centre of gravity of a circular sector. These parameters are:

- Radius of the Sector (r)
- Semi Vertical Angle (Î±)

The formula for computing the centre of gravity of a circular sector is:

C.G. = ^{2rsinÎ±} / _{3Î±}

Now, let’s take an example.

Let’s find the centroid or the centre of gravity of a circular sector that has a radius of 4m and a semi vertical angle of 30Â°.

This implies that:

r = Radius of the Sector = 4

Î± = Semi Vertical Angle = 30

Entering this values into the formula we have:

C.G. = ^{2(4)sin30Â°} / _{3(30)}

C.G. = ^{8 . sin30Â°} / _{90}

So, C.G. = ^{8 . (0.5)} / _{90}

C.G. = ^{4} / _{90}

C.G. = 0.0444

Therefore, the centroid or centre of gravity of the circular sector is 0.0444.

### How to Calculate the Centre of Gravity of a Circular Sector with Nickzom Calculator

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating theÂ centre of gravity of a circular sector making a semi vertical angle Î± at a distance from the centre of the sector measured along the central axis.

To get the answer and workings toÂ **center of gravity**Â orÂ **centroidÂ **of a circular sector.Â First, you need to obtain theÂ **Nickzom Calculator â€“ The Calculator Encyclopedia**Â app.

You can get this app via any of these means:

**Web**Â â€“Â https://www.nickzom.org/calculator-plus

**Android (Paid)**Â â€“Â https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator

**Android (Free)**Â â€“Â https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator

**Apple (Paid)**Â â€“Â https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8

Once, you have obtained the calculator encyclopedia app, proceed to theÂ **Calculator Map,Â **then click onÂ **Mechanics****Â **under theÂ **Engineering**Â section

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Now, click onÂ **Centre of Gravity**Â underÂ **Statics**

Now, click onÂ **Centre of Gravity of a Circular Sector**

The screenshot below displays the page or activity to enter your values to get answers for centre of gravity of a circular sector according to the respective parameters which are radius of the sector (r) and semi vertical angle (Î±).

Now, enter the values appropriately and accordingly for each of the parameters as required by the **example** above. A screenshot is below.

Finally, click on **Calculate**

As you can see from the screenshots above, **Nickzom Calculator** – The Calculator Encyclopedia solves for the centre of gravity or centroid of a circular sector and presents the formula, workings and steps too.