Problem 330. Circumscribed circles

Created by Alan Chalker

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","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\"?><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>Given the lengths of the 3 sides of a triangle, output the radius of the circumscribed circle.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Example:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>[3 4 5] -> 2.5</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

559 Solutions
305 Solvers

Last Solution submitted on Sep 17, 2020

Last 200 Solutions

Problem Comments

Solution Comments

Solution 1113069

3 Comments

3 Comments

Lucinda King on 31 Jan 2017

Either I am going mad or Test 1 is broken... (It's quite possibly the former!) Can anyone help?

yurenchu on 7 Jun 2017

It's probably a roundoff error in the calculation of the angle (in degrees) by acosd, which causes the end-result to have a slight offset (in the 7th or 8th decimal, which is not printed on-screen but which is there) from the exact correct answer. So instead, use the identity "(sin(x))^2 + (cos(x))^2 = 1" in order to eliminate the use of sin and cos in your calculation.

David Verrelli on 20 Jun 2018

Lucinda King, you make a fair point: preferably the Test Suite should have allowed for these "slight offsets" that are created when working with floating-point numbers. Especially when the "correct" answers are not integers. [See e.g. Problem 44690.]

Solution 1113067

1 Comment

1 Comment

Lucinda King on 31 Jan 2017

Why is 2.5000 not considered equal to 2.5?

Problem Recent Solvers305

Problem Tags

geometry

Problem 330. Circumscribed circles

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers305

Suggested Problems

More from this Author39

Problem Tags

Problem 330. Circumscribed circles

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers305

Suggested Problems

More from this Author39

Problem Tags

Players