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Question

Question 88

A square sheet of paper is converted into a cylinder by rolling it along its side. What is the ratio of the base radius to the side of the square?

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Solution

Let the sides of a square paper be a.

A cylinder is formed by rolling the paper along its sides.

Base of the cylinder is circle, so the circumference of the circle is equal to the length of each side of the square sheet.
2πr=a [ circumference of circle =2πr]
r=a2π
Ratio =a2π:a=12π:1=1:2π
Hence, the ratio of the base radius to the side of the square is 1:2π


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