# CircleThrough

CircleThrough[{p1,p2,}]

represents a circle passing through the points pi.

CircleThrough[{p1,p2,},q]

represents a circle with center q.

CircleThrough[{p1,p2,},q,r]

represents a circle with radius r.

# Examples

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## Basic Examples(2)

A circle passing through three points:

ArcLength of an circle passing through a set of points:

## Scope(3)

CircleThrough works on lists of coordinates:

A circle passing through a list of points with a given center and radius:

CircleThrough works in GeometricScene:

## Applications(1)

Visualize the circle passing through three points:

## Properties & Relations(5)

CircleThrough returns a Circle:

Use RegionMember to test point membership:

Use RegionFit to find a circle that fits a set of points:

The circle passing the first 3 points:

Use CirclePoints to generate equally spaced points on the unit circle:

The unit circle:

Use CircleThrough to specify hypotheses in GeometricScene:

## Possible Issues(1)

CircleThrough returns unevaluated if the points are not explicit:

Wolfram Research (2019), CircleThrough, Wolfram Language function, https://reference.wolfram.com/language/ref/CircleThrough.html.

#### Text

Wolfram Research (2019), CircleThrough, Wolfram Language function, https://reference.wolfram.com/language/ref/CircleThrough.html.

#### CMS

Wolfram Language. 2019. "CircleThrough." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/CircleThrough.html.

#### APA

Wolfram Language. (2019). CircleThrough. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/CircleThrough.html

#### BibTeX

@misc{reference.wolfram_2024_circlethrough, author="Wolfram Research", title="{CircleThrough}", year="2019", howpublished="\url{https://reference.wolfram.com/language/ref/CircleThrough.html}", note=[Accessed: 18-May-2024 ]}

#### BibLaTeX

@online{reference.wolfram_2024_circlethrough, organization={Wolfram Research}, title={CircleThrough}, year={2019}, url={https://reference.wolfram.com/language/ref/CircleThrough.html}, note=[Accessed: 18-May-2024 ]}