## You are here

Homecompass and straightedge construction of center of given circle

## Primary tabs

# compass and straightedge construction of center of given circle

Given a circle in the Euclidean plane, one can construct its center using compass and straightedge as follows:

1. 2. Construct the perpendicular bisector of $\overline{AB}$ in order to find the two points $C$ and $D$ where it intersects the circle.

3. Construct the perpendicular bisector of $\overline{CD}$ to determine the midpoint $O$ of $\overline{CD}$. $O$ is the center of the circle.

A justification for these constructions is supplied in the entry construct the center of a given circle.

If you are interested in seeing the rules for compass and straightedge constructions, click on the link provided.

Related:

ConstructTheCenterOfAGivenCircle

Major Section:

Reference

Type of Math Object:

Algorithm

Parent:

## Mathematics Subject Classification

51M15*no label found*51-00

*no label found*

- Forums
- Planetary Bugs
- HS/Secondary
- University/Tertiary
- Graduate/Advanced
- Industry/Practice
- Research Topics
- LaTeX help
- Math Comptetitions
- Math History
- Math Humor
- PlanetMath Comments
- PlanetMath System Updates and News
- PlanetMath help
- PlanetMath.ORG
- Strategic Communications Development
- The Math Pub
- Testing messages (ignore)

- Other useful stuff
- Corrections