Question

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

Answer 1

Answer

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.

→ 2πr=a

→ r/a =1:2 π

Answer 2

Answer:

• Ratio of the base radius of cylinder to the side of square is 1:2π.

Given :

• A square sheet of paper is converted into a cylinder by rolling it along its length.

To find :

• The ratio of the base radius to the side of the square = ?

Step-by-step explanation:

When square sheet of paper is converted into a cylinder by rolling, circumference of base is equal to side of square.

Let, Base radius of cylinder = r.

And, Side of Square =a.

Now,

Perimeter of base circle = side of square.

Substituting the values in the above formula, we get,

2πr = a

r/a = (1/2)π

r/a = 1:2 π

Hence, ratio of the base radius of cylinder to the side of square is 1:2π.