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Centroid of a Trapezoid Solution

STEP 0: Pre-Calculation Summary
Formula Used
centroid_of_trapezoid = ((Side B+2*Side A)/(3*(Side A+Side B)))*Height
G = ((b+2*a)/(3*(a+b)))*h
This formula uses 3 Variables
Variables Used
Side B - Side B is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
Side A - Side A is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
Height - Height is the distance between the lowest and highest points of a person standing upright. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Side B: 7 Meter --> 7 Meter No Conversion Required
Side A: 8 Meter --> 8 Meter No Conversion Required
Height: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
G = ((b+2*a)/(3*(a+b)))*h --> ((7+2*8)/(3*(8+7)))*12
Evaluating ... ...
G = 6.13333333333333
STEP 3: Convert Result to Output's Unit
6.13333333333333 Meter --> No Conversion Required
FINAL ANSWER
6.13333333333333 Meter <-- Centroid Of Trapezoid
(Calculation completed in 00.109 seconds)

10+ Trapezoid Calculators

Diagonal 1 of a trapezoid
diagonal_1 = sqrt(Side A^2*Side B-Side A*Side B^2-Side B*Side C^2+Side A*Side D^2)/sqrt(Side A-Side B) Go
Diagonal 2 of a trapezoid
diagonal_2 = sqrt(Side A^2*Side B-Side A*Side B^2-Side B*Side D^2+Side A*Side C^2)/sqrt(Side A-Side B) Go
Centroid of a Trapezoid
centroid_of_trapezoid = ((Side B+2*Side A)/(3*(Side A+Side B)))*Height Go
Height of an isosceles trapezoid
height = sqrt(Side C^2-0.25*(Side A-Side B)^2) Go
Diagonal of an isosceles trapezoid
diagonal = sqrt(Side A*Side B+Side C^2) Go
Perimeter of a trapezoid
perimeter = Side A+Side B+Side C+Side D Go
Area of a Trapezoid
area = ((Base A+Base B)/2)*Height Go
Sum of parallel sides of a trapezoid when area and height are given
sum_of_parallel_sides_of_trapezoid = (2*Area)/Height Go
Midline of a trapezoid when the length of bases are given
midline_of_trapezoid = (Side A+Side B)/2 Go
Area of a trapezoid when midline is given
area = Midline of a trapezoid*Height Go

Centroid of a Trapezoid Formula

centroid_of_trapezoid = ((Side B+2*Side A)/(3*(Side A+Side B)))*Height
G = ((b+2*a)/(3*(a+b)))*h

What is Centroid of a Trapezoid?

Trapezoid is a quadrilateral with two parallel sides and centroid of a trapezoid lies between two bases. In mathematics and physics, the centroid or geometric center of a plane figure is the arithmetic mean position of all the points in the figure. The term centroid is of recent coinage (1814). It is used as a substitute for the older terms center of gravity, and center of mass, when the purely geometrical aspects of that point are to be emphasized.

How to Calculate Centroid of a Trapezoid?

Centroid of a Trapezoid calculator uses centroid_of_trapezoid = ((Side B+2*Side A)/(3*(Side A+Side B)))*Height to calculate the Centroid Of Trapezoid, The centroid of a trapezoid is a point that lies between its two bases. Centroid Of Trapezoid and is denoted by G symbol.

How to calculate Centroid of a Trapezoid using this online calculator? To use this online calculator for Centroid of a Trapezoid, enter Side B (b), Side A (a) and Height (h) and hit the calculate button. Here is how the Centroid of a Trapezoid calculation can be explained with given input values -> 6.133333 = ((7+2*8)/(3*(8+7)))*12.

FAQ

What is Centroid of a Trapezoid?
The centroid of a trapezoid is a point that lies between its two bases and is represented as G = ((b+2*a)/(3*(a+b)))*h or centroid_of_trapezoid = ((Side B+2*Side A)/(3*(Side A+Side B)))*Height. Side B is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back, Side A is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back and Height is the distance between the lowest and highest points of a person standing upright.
How to calculate Centroid of a Trapezoid?
The centroid of a trapezoid is a point that lies between its two bases is calculated using centroid_of_trapezoid = ((Side B+2*Side A)/(3*(Side A+Side B)))*Height. To calculate Centroid of a Trapezoid, you need Side B (b), Side A (a) and Height (h). With our tool, you need to enter the respective value for Side B, Side A and Height and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Centroid Of Trapezoid?
In this formula, Centroid Of Trapezoid uses Side B, Side A and Height. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • area = ((Base A+Base B)/2)*Height
  • centroid_of_trapezoid = ((Side B+2*Side A)/(3*(Side A+Side B)))*Height
  • midline_of_trapezoid = (Side A+Side B)/2
  • diagonal_1 = sqrt(Side A^2*Side B-Side A*Side B^2-Side B*Side C^2+Side A*Side D^2)/sqrt(Side A-Side B)
  • diagonal_2 = sqrt(Side A^2*Side B-Side A*Side B^2-Side B*Side D^2+Side A*Side C^2)/sqrt(Side A-Side B)
  • area = Midline of a trapezoid*Height
  • diagonal = sqrt(Side A*Side B+Side C^2)
  • height = sqrt(Side C^2-0.25*(Side A-Side B)^2)
  • sum_of_parallel_sides_of_trapezoid = (2*Area)/Height
  • perimeter = Side A+Side B+Side C+Side D
Where is the Centroid of a Trapezoid calculator used?
Among many, Centroid of a Trapezoid calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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