**In this post, we will discuss Circumcenter of a triangle that will help you solve geometric questions in SSC Exams.**

Of the several centres of the triangle, the circumcenter of the triangle is the point where the perpendicular bisectors of a triangle intersect. The circumcenter is the point where the perpendicular bisectors of a triangle intersect. The circumcentre is also the centre of the triangle's circumcircle.

In this post, we will discuss in detail about all the properties of a circumcentre. But before moving on further have a quick review of Centroid and Orthocenter of a triangle which will help you save time in SSC Exams.

### What do you mean by Perpendicular Bisector?

A perpendicular bisector is a line that is perpendicular to the sides of a triangle and also bisects the sides into two equal halves.Three perpendicular bisectors can be drawn in a triangle.

**AD, BE and CF are the three perpendicular bisectors.**

### What is a Circumcenter of a Triangle?

Circumcenter of a triangle is the point of intersection where all the perpendicular bisectors of a triangle intersect.**Circumcenter of a triangle is denoted by the letter 'S.'**

### Properties of Circumcentre of a Triangle

### Property 1: Circumcentre of a triangle

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The circumcenter is the centre of the circle which touches the three vertexes of the triangle. The circumcenter is said to circumscribe the triangle inside a circle. Circumscribing means that a circle passes through all the three vertices of a triangle.

### Property 2: Circumcentre of a Triangle

The angle made by the side BC with the circumcenter is 2 times the opposite angle.### Property 3: Circumcentre of a Triangle

The position of the circumcentre of a triangle keeps on changing according to the type the triangle.**Acute angled Triangle:**

**Obtuse-angled Triangle:**

**In an Obtuse-angled triangle, the circumcenter of a triangle lies outside the triangle.**

**Right-angled Triangle:**

In a Right-angled triangle, the circumcenter of a triangle lies on the hypotenuse of the triangle and it divides it into two equal halves.

In an equilateral triangle, the radius of a circle is,

**r = AS or r = CS**

In an equilateral triangle, the radius of a circle is,

Do write in the comments section below on how this post has helped you understand the properties of Orthocentre of a triangle asked in mock tests for SSC CGL. Also, download free questionnaire for practice!

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