Centroid Calculator, Formula and Sample Example

Centroid Calculator :

Enter the centroid calculator calculates the Point1 in (x1,y1), point2 in (x2,y2), point3 in (x3,y3), and you get the calculation below the calculator you check it.

Centroid Calculator

Centroid Formula :

Denoted of the triangle in C ½ (b × h) is equal to product of x coordinates of the vertices of a triangle (x1+x2+x3)/3 and multiply by

y coordinates of the vertices of a triangle (y1+y2+y3)/3).Hence the centroid formula has been written as,

C ½ (b × h)= ((x1+x2+x3)/3, (y1+y2+y3)/3)

Where,

C denoted of the triangle in ½ (b × h)

x1, x2, x3 → x coordinates of the vertices of a triangle.

y1, y2, y3→ y coordinates of the vertices of a triangle.

Sample Examples :

Example 1:

Calculate the centroid of a triangle whose vertices are  (4,2), (5,1) and (6,7).

Solution :

Given parameters are,

(x1, y1) = (4,2)

(x2, y2) = (5,1)

(x3, y3) = (6,7)

The centroid formula is given by

C = [(x1 + x2 + x3)/ 3, (y1 + y2 + y3)/ 3)

C = [(4 + 5 + 6) / 3, (2 + 1 + 7) /3]

C = (15 / 3, 10 / 3)

C = (5, 3.3).

Example 2:

Calculate the centroid of a triangle whose vertices are (8,0), (1,9) and (2,5)

Solution :

Given parameters are

(x1, y1) = (8, 0)

(x2, y2) = (1, 9)

(x3, y3) = (2, 5)

The centroid formula is given by,

C = [(x1 + x2 + x3)/ 3, (y1 + y2 + y3)/ 3]

C = [(8 + 1 + 2) / 3, (0 + 9 + 5) / 3]

C = (11 / 3, 14 / 3)

C = (3.6, 4.6).

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