Centroid Calculator

The geometric center of the object is known as the centroid. The centroid of a triangle can be determined as the point of intersection of all the three medians of a triangle.

What is Centroid Calculator?

'Cuemath's Centroid Calculator' is an online tool that helps to calculate the value of centroid for given coordinates. Cuemath's online Centroid Calculator helps you to calculate the value of the centroid within a few seconds.

How to Use Centroid Calculator?

Please follow the steps below on how to use the calculator:

• Step1: Enter the coordinates in the given input boxes.
• Step 2: Click on the "Find" button to find the value of centroid for given coordinates
• Step 3: Click on the "Reset" button to clear the fields and enter new values.

How to Find Centroid?

The centroid of a triangle is the center of the triangle. It is referred to as the point of concurrency of medians of a triangle.

Let (x₁, y₁), (x₂, y₂), and (x₃, y₃) are the vertices of the triangle then the centroid of the triangle is calculated using the formula:

Where x₁, x₂, x₃ are the x-coordinates and y₁, y₂, y₃ are the y-coordinates

Let's see an example to understand briefly.

Solved Example:

Find the centroid of the triangle if the vertices are (2, 3), (3,5) and (6,7)

Solution:

The centroid of triangle C = \(\left(\dfrac{x_1, x_2, x_3}{3} , \dfrac{y_1, y_2, y_3}{3}\right)\)

= (2 + 3 + 6 / 3 , 3 + 5 + 7 / 3)

= ( 11 / 3, 5)

Therefore, the centroid of the triangle is (11 / 3, 5)

Similarly, you can try the calculator to find the centroid of the triangle for the given vertices:

• (2, 4), (6, 5) and (9, 7)
• (4, 3), (3,8) and (1,11)