Centroid of Trapezium

Centroid of trapezium is bit tricky to determine. Because of different lengths a & b with having height “h”.

Centroid of trapezium description

Centroid of Trapezium Formula:

\(\bar{Y}= \frac{h}{3}\frac{(b+2a)}{(b+a)}\)

Example

A trapezium shape is given whose dimensions are;

a = 6’, b = 8’, h = 5’

Find the centroid of trapezium.

Solution

By using formula, centroid of trapezium can be easily determined:

\(\bar{Y}=\frac{5}{3}\frac{(8+2×6)}{(8+6)}\)

 

\(\bar{y}= 2.38’=Answer\)

 

2 Comments

  1. Adi September 14, 2013
    • Jalal Afsar October 13, 2013

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