Table of Contents

Last modified on August 3rd, 2023

The centroid of a trapezoid is its center of mass, where the whole body mass is concentrated. In simpler words, if we consider a cutout of a trapezoid, the centroid is the point where it can be perfectly balanced on the tip of a pin.

Since it is a point, we normally find it as coordinates axes.

Let us solve an example to understand the concept better.

**Find the centroid of a trapezoid given in the figure.**

Solution:

As we know,

Centroid (G) = ${\left( \dfrac{h}{2},\dfrac{\left( a+2b\right) }{3\left( a+b\right) }\times h\right)}$ , here a = 12 cm, b = 7 cm, h = 7 cm

= (7/2, (12 + 2 × 7) × 7/3(12 + 7))

= (7/2, 26 × 7 / 57)

= (3.5, 3.193)

≈ (3.5, 3.2)

Last modified on August 3rd, 2023