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

Question

asked Nov 18, 2021 83.7k views

1 Answer

Rodrigues · Answer 1 · 2021-11-24T20:26:52+0000

Answer:

$l=\pi D$

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