Question

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 . ​

Answer 1

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

$\mathfrak{\huge{\pink{ANSWER-:}}}$

Let side of the square be “s”. Let the radius of the cylinder be “r” Find ratio: radius to side of square = r : s The base circumference C = 2 π r =s r : s = r : 2 π r

Answer 2

Let the side of the square = x

Circumference of the base of cylinder

$2\pi \: r \: = x$

=》

$\frac{r}{x} = \frac{1}{2\pi}$

$\frac{r}{x} = \frac{7}{2 \times 22}$

=》 7 : 44

Hence, the ratio of the base radius to the side square = 7:44 or 1:2\pi