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

Answer:

$l=\pi D$

Step-by-step 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