2019 EJC P1 Q2

2019 EJC P1 Q2

6 marks
Prelims

A string of fixed length \(l\) is cut into two pieces. The first piece is used to form a square of side \(s\) and the second piece is used to form a circle of radius \(r\). Find the ratio of the length of the first piece to the second piece that gives the smallest possible combined area of the square and circle.[6]

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Answer:Required ratio \(=4:\pi\)

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