Problem 636. Spherical radius given four 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:t>Determine the radius of a sphere provided four non-coplanar points on the surface of the sphere.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ pts = [x1 y1 z1;\n        x2 y2 z2;\n        x3 y3 z3;\n        x4 y4 z4]]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Hint: See</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://steve.hollasch.net/cgindex/geometry/sphere4pts.html\"><w:r><w:t>http://steve.hollasch.net/cgindex/geometry/sphere4pts.html</w:t></w:r></w:hyperlink></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Example:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ pts = [1 0 0;\n        0 1 0;\n        0 0 1;\n       -1 0 0]\n r=1]]></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

564 Solutions
144 Solvers

Last Solution submitted on Sep 08, 2023

Last 200 Solutions

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers144

Problem Tags

Community Treasure Hunt

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

Start Hunting!

Problem 636. Spherical radius given four points

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers144

Suggested Problems

More from this Author294

Problem Tags

Community Treasure Hunt

Problem 636. Spherical radius given four points

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers144

Suggested Problems

More from this Author294

Problem Tags

Community Treasure Hunt

Players