Question

When looking at the net of a cylinder, what is the relationship between the length of the rectangle and the circular base?

Answer 1

`l=\pi D`

Explanation:

-The length of the rectangle is mathematically equivalent to the circumference of the cylinder's base.

-The circumference is given by the formula:

`\pi D=2\pi r`

Where D is the base's diameter and it's twice the radius.

-Let l denote the length of the rectangle:

`C=\pi D\\\\\therefore l=\pi D`

Hence, the relationship can be expressed as l = πD