Forma Visuals · Draw a geometry figure · Examples

Circumcircle construction

The perpendicular bisectors, the point where they meet and the circle through all three corners, for a worksheet or a slide.

For educators · TikZ

01 The figure

Drawn from the code that came back.

Circumcircle construction, drawn from the request below

valid · vector-graphics@0bd7c5a4 · 1 credit · 2026-10-07

The check covers the properties the figure states, in the figure you receive. Measurements are not compared with the drawing: read the source.

02 The request

In plain words.

Triangle ABC. Draw the perpendicular bisectors of AB, BC and CA, mark the point O where they meet, and draw the circle centred at O through A, B and C. Check that O is the same distance from A, B and C.

03 What came back

A tikzpicture.

TikZ
\begin{tikzpicture}[x=1pt,y=1pt]
  \path[use as bounding box] (0,0) rectangle (281.19,282.61);
  \draw[draw=gray,line width=0.4pt] (153.21,153.21) -- (153.21,8);
  \draw[draw=gray,line width=0.4pt] (153.21,153.21) -- (262.11,262.11);
  \draw[draw=gray,line width=0.4pt] (153.21,153.21) -- (8,225.81);
  \draw[draw=black,line width=0.6pt,fill=none] (153.21,153.21) circle[radius=114.79pt];
  \draw[draw=black,line width=0.6pt,fill=none] (44.3,116.9) -- (262.11,116.9) -- (116.9,262.11) -- cycle;
  \filldraw[draw=none,line width=0.4pt,fill=black] (44.3,116.9) circle[radius=1.3pt];
  \filldraw[draw=none,line width=0.4pt,fill=black] (262.11,116.9) circle[radius=1.3pt];
  \filldraw[draw=none,line width=0.4pt,fill=black] (116.9,262.11) circle[radius=1.3pt];
  \filldraw[draw=none,line width=0.4pt,fill=black] (153.21,153.21) circle[radius=1.3pt];
  \node[text=black,anchor=center,font=\fontsize{10pt}{12pt}\selectfont] at (36.55,116.9) {$A$};
  \node[text=black,anchor=center,font=\fontsize{10pt}{12pt}\selectfont] at (269.65,116.9) {$B$};
  \node[text=black,anchor=center,font=\fontsize{10pt}{12pt}\selectfont] at (116.9,270.36) {$C$};
  \node[text=black,anchor=center,font=\fontsize{10pt}{12pt}\selectfont] at (153.21,161.46) {$O$};
\end{tikzpicture}

04 When to use it

Where this figure helps.

  • Teaching why the perpendicular bisectors meet at one point.
  • State what must hold, as the request does; only properties the figure states are checked.
  • Measurements you write are not compared with the drawing; describe the construction instead.