Problem 2308. rectangle in circle

Created by Zikobrelli

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":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/image","targetMode":"","relationshipId":"rId1","target":"/media/image1.gif"}],"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>In the figure below, the rectangle at the corner measures a cm x b cm. What is the radius of the circle in cm?</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"-1\"/><w:attr w:name=\"width\" w:val=\"-1\"/><w:attr w:name=\"relationshipId\" w:val=\"rId1\"/></w:customXmlPr></w:customXml></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>"},{"partUri":"/media/image1.gif","contentType":"image/gif","content":"data:image/gif;base64,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"}]}

Solve

Solution Stats

123 Solutions
54 Solvers

Last Solution submitted on Feb 22, 2021

Last 200 Solutions

Problem Comments

4 Comments

4 Comments

Show 1 older comment

Guillaume on 9 May 2014

It would be good to add a test where the solution is not 5*a, which always happens when b = 2*a.

Jan Orwat on 9 May 2014

e.g. a=2, b=9, r=17; a=1, b=8, r=13; a=18, b=25, r=73; etc.

Georges on 11 Sep 2014

good one :)

Rafael S.T. Vieira on 27 Jun 2020

The circle is inscribed in a square. And the rectangle touching the square corner intersects the circle at one vertex precisely. (This needs to be said: we can't trust our eyes.)

Problem Recent Solvers54

Problem Tags

pythagoras

Community Treasure Hunt

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

Start Hunting!

Problem 2308. rectangle in circle

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers54

Suggested Problems

More from this Author12

Problem Tags

Community Treasure Hunt

Problem 2308. rectangle in circle

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers54

Suggested Problems

More from this Author12

Problem Tags

Community Treasure Hunt

Players