Problem 1336. Geometry: Find Circle given 3 Non-Colinear Points

Created by Richard Zapor

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>This Challenge is to determine the center and radius of a circle given three non-colinear points.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>Input:</w:t></w:r><w:r><w:t> Points</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>Output:</w:t></w:r><w:r><w:t> [xc, yc, r] where [xc,yc] are the center and r is the radius</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>Example:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Input: Points = [1 0 ; 0 -1 ; 0 1]</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Output: [ 0 0 1]</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>Theory/Hint:</w:t></w:r><w:r><w:t> The Kasa method provides a best fit circle to a set of points.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>Future:</w:t></w:r><w:r><w:t> 1) Circumscribe 4 points 2) Circumscribe N points 3) The Great Lego Cup Challenge</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

154 Solutions
58 Solvers

Last Solution submitted on May 14, 2023

Last 200 Solutions

Problem Comments

1 Comment

1 Comment

Nikolaos Nikolaou on 6 Oct 2020

Nice one :)

Solution Comments

Show comments

Problem Recent Solvers58

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 1336. Geometry: Find Circle given 3 Non-Colinear Points

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers58

Suggested Problems

More from this Author260

Problem Tags

Community Treasure Hunt

Problem 1336. Geometry: Find Circle given 3 Non-Colinear Points

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers58

Suggested Problems

More from this Author260

Problem Tags

Community Treasure Hunt

Players