Problem 44367. Inscribed Pentagon? 2

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{"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 may or may not be centered on 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[ -1: the pentagon is not centered on the circle (within 5% of r)^\n  0: the pentagon is completely enclosed within the circle but is not inscribed\n  1: the pentagon is inscribed in the circle (within ±0.02)\n  2: 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. (There will not be a case where some vertices are within the circle and others without.)</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>^ Due to the asymmetric nature of the pentagon, its centroid does not coincide with center of its inscribing circle, hence the ±5% tolerance window.</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>"}]}

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Last Solution submitted on Aug 07, 2020

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center circle cody5 five geometry inscribed pentagon radius vertex vertices

Problem 44367. Inscribed Pentagon? 2

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Problem 44367. Inscribed Pentagon? 2

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