It is very possible to compute 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 (α)

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

C.G. = ^{2rsinα} / _{3α}

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 30°.

This implies that:

r = Radius of the Sector = 4

α = Semi Vertical Angle = 30

Entering this values into the formula we have:

C.G. = ^{2(4)sin30°} / _{3(30)}

C.G. = ^{8 . sin30°} / _{90}

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.

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

To get the answer and workings to **center of gravity** or **centroid **of a circular sector. First, you need to obtain the **Nickzom Calculator – The Calculator Encyclopedia** app.

Continue reading How to Calculate the Centre of Gravity of a Circular Sector in Statics | Mechanics