Problem 44368. Inscribed Pentagon?

Created by goc3

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>Your function will be provided with the five vertices of a pentagon (p) as well as the center point (cp) and radius (r) of a circle. The pentagon will be centered about the circle. The function should return one of the following values:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[0: the pentagon is completely enclosed within the circle but is not inscribed\n1: the pentagon is inscribed in the circle (within ±0.02)\n2: the vertices of the pentagon extend beyond the circle]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Points will be rounded to the nearest hundredth. See the test cases for examples.</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

634 Solutions
321 Solvers

Last Solution submitted on Sep 18, 2020

Last 200 Solutions

Problem Comments

Solution Comments

Solution 1296612

1 Comment

1 Comment

James on 9 Nov 2017

Very sneaky noticing this pattern in the answers.

Problem Recent Solvers321

Problem Tags

circle cody5 five geometry inscribed pentagon radius vertex vertices

Problem 44368. Inscribed Pentagon?

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers321

Suggested Problems

More from this Author139

Problem Tags

Problem 44368. Inscribed Pentagon?

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers321

Suggested Problems

More from this Author139

Problem Tags

Players