Circumcenter Formula
Circumcenter of a triangle, P(x, y) with vertices A(x1, y1), B(x2, y2), and C(x3, y3) is given using the following formula:
P(x, y) = {(x1 sin 2A + x2 sin 2B + x3 sin 2C)/(sin 2A + sin 2B + sin 2c), (x1 sin 2A + x2 sin 2B + x3 sin 2C)/(sin 2A + sin 2B + sin 2c)}
Circumcenter of Triangle: Formula, Properties, Examples
The circumcenter of Triangle is a specific point where the perpendicular bisectors of the sides of the triangle intersect. This point is significant because it is equidistant from all three vertices of the triangle. It makes it the center of circle that can be circumscribed around the triangle which is known as circumcircle.
Table of Content
- Circumcenter of Triangle
- Circumcenter Formula
- Properties of Circumcenter
- Construction of Circumcenter of Triangle
- How to Find Circumcenter of Triangle?
- Examples on Circumcenter Formula
- Circumcenter of Triangle- FAQs
It is a point belonging to a triangle where the perpendicular bisector of the triangle meets. It is a point inside the triangle and is represented using P(x, y).
Let’s learn about the Circumcenter of triangle in detail, including its Definition, Properties and formula.