Respuesta :

Answer:

[tex]l=\pi D[/tex]

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:

[tex]\pi D=2\pi r[/tex]

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

-Let l denote the length of the rectangle:

[tex]C=\pi D\\\\\therefore l=\pi D[/tex]

Hence, the relationship can be expressed as l = πD