X Coordinate of Centroid of Trapezoid Calculator

✖Long Base of Trapezoid is the longer side among the pair of parallel sides of the Trapezoid.ⓘ Long Base of Trapezoid [B_Long]			+10% -10%
✖Short Base of Trapezoid is the shorter side among the pair of parallel sides of the Trapezoid.ⓘ Short Base of Trapezoid [B_Short]			+10% -10%
✖Height of Trapezoid is the perpendicular distance between the pair of parallel sides of the Trapezoid.ⓘ Height of Trapezoid [h]			+10% -10%

✖X coordinate of centroid of Trapezoid is the horizontal position of centroid of the Trapezoid in 2D plane when the left most acute angle corner is at origin.ⓘ X Coordinate of Centroid of Trapezoid [G_x]

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X Coordinate of Centroid of Trapezoid Solution

STEP 0: Pre-Calculation Summary

Formula Used

X Coordinate of Centroid of Trapezoid = ((Long Base of Trapezoid+2*Short Base of Trapezoid)/(3*(Short Base of Trapezoid+Long Base of Trapezoid)))*Height of Trapezoid
G_x = ((B_Long+2*B_Short)/(3*(B_Short+B_Long)))*h
This formula uses 4 Variables

Variables Used

X Coordinate of Centroid of Trapezoid - (Measured in Meter) - X coordinate of centroid of Trapezoid is the horizontal position of centroid of the Trapezoid in 2D plane when the left most acute angle corner is at origin.
Long Base of Trapezoid - (Measured in Meter) - Long Base of Trapezoid is the longer side among the pair of parallel sides of the Trapezoid.
Short Base of Trapezoid - (Measured in Meter) - Short Base of Trapezoid is the shorter side among the pair of parallel sides of the Trapezoid.
Height of Trapezoid - (Measured in Meter) - Height of Trapezoid is the perpendicular distance between the pair of parallel sides of the Trapezoid.

STEP 1: Convert Input(s) to Base Unit

Long Base of Trapezoid: 15 Meter --> 15 Meter No Conversion Required
Short Base of Trapezoid: 5 Meter --> 5 Meter No Conversion Required
Height of Trapezoid: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G_x = ((B_Long+2*B_Short)/(3*(B_Short+B_Long)))*h --> ((15+2*5)/(3*(5+15)))*8

Evaluating ... ...

G_x = 3.33333333333333

STEP 3: Convert Result to Output's Unit

3.33333333333333 Meter --> No Conversion Required

FINAL ANSWER

3.33333333333333 ≈ 3.333333 Meter <-- X Coordinate of Centroid of Trapezoid

(Calculation completed in 00.004 seconds)

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< Trapezoid Calculators

X Coordinate of Centroid of Trapezoid

LaTeX Go X Coordinate of Centroid of Trapezoid = ((Long Base of Trapezoid+2*Short Base of Trapezoid)/(3*(Short Base of Trapezoid+Long Base of Trapezoid)))*Height of Trapezoid

Inradius of Trapezoid

LaTeX Go Inradius of Trapezoid = Height of Trapezoid/2

< Important Formulas of Trapezoid Calculators

X Coordinate of Centroid of Trapezoid

LaTeX Go X Coordinate of Centroid of Trapezoid = ((Long Base of Trapezoid+2*Short Base of Trapezoid)/(3*(Short Base of Trapezoid+Long Base of Trapezoid)))*Height of Trapezoid

Perimeter of Trapezoid

LaTeX Go Perimeter of Trapezoid = Short Base of Trapezoid+Long Base of Trapezoid+Short Leg of Trapezoid+Long Leg of Trapezoid

Area of Trapezoid

LaTeX Go Area of Trapezoid = ((Short Base of Trapezoid+Long Base of Trapezoid)/2)*Height of Trapezoid

Inradius of Trapezoid

LaTeX Go Inradius of Trapezoid = Height of Trapezoid/2

X Coordinate of Centroid of Trapezoid Formula

LaTeX Go

What is a Trapezoid?

Trapezoid is a quadrilateral with one pair of opposite and parallel sides. The pair of parallel sides is called the bases of the Trapezoid and the pair of non parallel edges is called the legs of the Trapezoid. Out of the four angles, in general a Trapezoid has 2 acute angles and 2 obtuse angles which are pairwise supplementary angles.

How to Calculate X Coordinate of Centroid of Trapezoid?

X Coordinate of Centroid of Trapezoid calculator uses X Coordinate of Centroid of Trapezoid = ((Long Base of Trapezoid+2*Short Base of Trapezoid)/(3*(Short Base of Trapezoid+Long Base of Trapezoid)))*Height of Trapezoid to calculate the X Coordinate of Centroid of Trapezoid, X Coordinate of Centroid of Trapezoid formula is defined as the horizontal position of the centroid of the Trapezoid in the 2D plane when the left-most acute angle corner is at the origin. X Coordinate of Centroid of Trapezoid is denoted by G_x symbol.

How to calculate X Coordinate of Centroid of Trapezoid using this online calculator? To use this online calculator for X Coordinate of Centroid of Trapezoid, enter Long Base of Trapezoid (B_Long), Short Base of Trapezoid (B_Short) & Height of Trapezoid (h) and hit the calculate button. Here is how the X Coordinate of Centroid of Trapezoid calculation can be explained with given input values -> 3.333333 = ((15+2*5)/(3*(5+15)))*8.

FAQ

What is X Coordinate of Centroid of Trapezoid?

X Coordinate of Centroid of Trapezoid formula is defined as the horizontal position of the centroid of the Trapezoid in the 2D plane when the left-most acute angle corner is at the origin and is represented as G_x = ((B_Long+2*B_Short)/(3*(B_Short+B_Long)))*h or X Coordinate of Centroid of Trapezoid = ((Long Base of Trapezoid+2*Short Base of Trapezoid)/(3*(Short Base of Trapezoid+Long Base of Trapezoid)))*Height of Trapezoid. Long Base of Trapezoid is the longer side among the pair of parallel sides of the Trapezoid, Short Base of Trapezoid is the shorter side among the pair of parallel sides of the Trapezoid & Height of Trapezoid is the perpendicular distance between the pair of parallel sides of the Trapezoid.

How to calculate X Coordinate of Centroid of Trapezoid?

X Coordinate of Centroid of Trapezoid formula is defined as the horizontal position of the centroid of the Trapezoid in the 2D plane when the left-most acute angle corner is at the origin is calculated using X Coordinate of Centroid of Trapezoid = ((Long Base of Trapezoid+2*Short Base of Trapezoid)/(3*(Short Base of Trapezoid+Long Base of Trapezoid)))*Height of Trapezoid. To calculate X Coordinate of Centroid of Trapezoid, you need Long Base of Trapezoid (B_Long), Short Base of Trapezoid (B_Short) & Height of Trapezoid (h). With our tool, you need to enter the respective value for Long Base of Trapezoid, Short Base of Trapezoid & Height of Trapezoid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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