Circumcenter Calculator

Calculate Circumcenter
Enter Coordinates (x1 , y1) , (x2 , y2) , (x3 , y3)
x1 =

y1 =

x2 =

y2 =

x3 =

y3 =

Circumcenter = \(\frac{x_{1} sin 2A + x_{2} sin 2B + x_{3} sin 2C}{sin 2A + sin 2B + sin 2C},\frac{y_{1} sin 2A + y_{2} sin 2B + y_{3} sin 2C}{sin 2A + sin 2B + sin 2C}\)
Circumcenter (x) =

Circumcenter (y) =

Circumcenter Calculator is a free online tool that displays the centre of the triangle circumcircle. BYJU’S online circumcenter calculator tool makes the calculation faster, and it displays the coordinates of the circumcenter in a fraction of seconds.

How to Use the Circumcenter Calculator?

The procedure to use the circumcenter calculator is as follows:

Step 1: Enter the three coordinates of a triangle in the respective input fields

Step 2: Now click the button “Calculate Circumcenter” to get the output

Step 3: Finally, the coordinates of the circumcenter will be displayed in the output field

What is Meant by Circumcenter?

In Geometry, a circumcenter is defined as a point where the perpendicular bisectors of three sides of a triangle intersect. Also, it is equidistant from the three vertices of a triangle. The point of concurrency may be in, on or outside of a triangle.

  • If a triangle is an acute triangle, the circumcenter is the interior of the circle. 
  • If a triangle is a right triangle, the circumcenter is present on the midpoint of the hypotenuse.
  • If a triangle is an obtuse triangle, the circumcenter will be outside of the triangle.

3 Comments

  1. how to solve a question of a circumcenter of a triangle please tell that as fast as possible.

    1. that would be nice for me as well

  2. thanks so much for this calculator! it really helps me with my classes and i appreciate you all so much! thanks!

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