# Circumcenter: Computes the circumcenter of a given triangle, that is, the... In LearnGeom: Learning Plane Geometry

## Description

`Circumcenter` computes the center of a triangle

## Usage

 `1` ```Circumcenter(Tri, lines = F) ```

## Arguments

 `Tri` Triangle object, previously created with function `CreatePolygon` `lines` Boolean. When `lines` = `TRUE`, the plot displays the lines that represent the medians of each of the sides of the triangle. If missing, it works as with `lines` = `FALSE`, so the lines are not displayed

## Value

Vector which contains the xy-coordinates of the circumcenter of the triangle

## References

http://mathworld.wolfram.com/Circumcenter.html

## Examples

 ``` 1 2 3 4 5 6 7 8 9 10 11 12``` ```P1 <- c(0,0) P2 <- c(1,1) P3 <- c(2,0) Tri <- CreatePolygon(P1, P2, P3) x_min <- -5 x_max <- 5 y_min <- -5 y_max <- 5 CoordinatePlane(x_min, x_max, y_min, y_max) Draw(Tri, "transparent") I <- Circumcenter(Tri, lines = TRUE) Draw(I, "red") ```

### Example output

```[1] "Some of the inserted points are collinear. This could lead to a defective polygon."
NULL
NULL
NULL
```

LearnGeom documentation built on July 14, 2020, 5:06 p.m.