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 ?

• A. $1:5\pi$
• B. $3:2\pi$
• C. $1:\pi$
• D. $1:2\pi$

Answer 1

The correct option is D $1:2\pi$

Cylinder is made by rolling a square sheet of paper along its side.

Base radius of cylinder $=r$.

Side of Square $=a$.

Perimeter of base circle = side of square.

$2\pi r=a$

$\frac{r}{a}=1:2\pi$