Circumcenter Calculator

Calculate Circumcenter

Enter Coordinates (x₁ , y₁) , (x₂ , y₂) , (x₃ , y₃)

x₁ =

y₁ =

x₂ =

y₂ =

x₃ =

y₃ =

Circumcenter =

\(\begin{array}{l}\frac{x_{1} sin 2A + x_{2} sin 2B + x_{3} sin 2C}{sin 2A + sin 2B + sin 2C},\frac{y_{1} sin 2A + y_{2} sin 2B + y_{3} sin 2C}{sin 2A + sin 2B + sin 2C}\end{array} \)

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.