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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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1 : 5 π

3 : 2 π

1 : π

1 : 2 π

answer is D.

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Detailed Solution

Given,
According to the question cylinder is made by rolling a square sheet of paper,
Radius of cylinder

= r .

Square side

= a

.
Now here, the Perimeter of base circle will be equal to the side of square. Therefore,
Perimeter=side

2 πr = a

\frac{r}{a} = \frac{1}{2 π}

r : a = 1 : 2 π

This is the required ratio.
Correct option is 4.

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