According to Quora,

The center of gravity of a trapezoid can be estimated by dividing the trapezoid in two triangles.

Nickzom Calculator calculates the centre of gravity of a trapezium with parallel sides a and b at a distance measured from side b.

The formula for calculating this center of gravity is:

C.G. = ^{h (b + 2a)} / _{3 (b + a)}

Where, a and b are the length of the parallel sides of the trapezium (b being the **base length** and a being the **top length**) whereas h is the height of the trapezium.

Let’s take for **Example: **Find the center of gravity or centroid of a trapezium where a is 4, b is 8 and h is 2.

This implies:

a = 4

b = 8

h = 2

C.G. = ^{2 (8 + 2(4))} / _{3 (8 + 4)}

C.G. = ^{2 (8 + 8)} / _{3 (12)}

C.G. = ^{2 (16)} / _{36}

C.G. = ^{32} / _{36}

C.G. = 0.89

Therefore, the center of gravity or centroid of the trapezium is **0.89**.

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

You can get this app via any of these means:

**Web** – https://www.nickzom.org/calculator-plus

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

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

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

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

Now, click on **Centre of Gravity** under **Statics**

Now, click on **Centre of Gravity of a Trapezium**

The screenshot below displays the page to enter your values to get answers for centre of gravity of a trapezium according to the respective parameters.

Now, enter the values accordingly like in the example above

Now, click on **Calculate**

You can see that Nickzom Calculator solves to the precise answer while still displaying the steps.