Definition

The point that is the center of a circle that goes through all the corners of a triangle, and is also where the lines that cut each side in half meet.

Example

In geometry class, we learned how to find the circumcenter of a triangle using its perpendicular bisectors.

Conversation

Did you know that the circumcenter of a triangle is where all the perpendicular bisectors meet?

Really? I never heard of that before!

Yeah, it's also the center of the circumcircle that goes through all the vertices.

That's pretty cool! I should look into that for my geometry class.

Synonyms & Antonyms

Root Explanation

Circumcenter is formed from "circum-" (meaning around) and "centrum" (from Latin, meaning center). The word refers to the center of a circle that can be drawn around a triangle, hence the center that is around the triangle.

Memory Tip

Think of 'around' ('circum-') and 'center' ('centrum') to remember that a circumcenter is the center point around which a circle can be drawn.

Visually Confused Words