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

153 Solutions
57 Solvers

Last Solution submitted on Aug 12, 2022

Last 200 Solutions

Problem Comments

1 Comment

1 Comment

Nikolaos Nikolaou on 6 Oct 2020

Nice one :)

Problem Recent Solvers57

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

Problem Recent Solvers57

Suggested Problems

More from this Author255

Problem Tags

Community Treasure Hunt

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

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers57

Suggested Problems

More from this Author255

Problem Tags

Community Treasure Hunt

Players