since a rectangle forms two area of a circle shouldn't it also form two circumference in a cylinder
I can make no sense of your question.
the formula for the area of a cylinder is derived by adding the area of a rectangle (circumference of a circle * height of the rectangle forming the circumference) by twice the area of a cycle, since there are two circles in a cylinder. I was asking why it is not 2 circumferences. area=2 pi rh + 2 Pi r^2. why not ...2* 2 pi rh + 2 Pi r^2
To answer this question, let's break it down step by step.
First, let's clarify the terms we are using. A rectangle is a quadrilateral with four right angles. It has opposite sides that are equal in length and parallel to each other. A circle is a two-dimensional shape where all points on the boundary are equidistant from the center. A cylinder is a three-dimensional object with two circular bases and a curved surface connecting them.
When you say "a rectangle forms two areas in a circle," I assume you are referring to the fact that a rectangle can be inscribed in a circle. This means that all four vertices of the rectangle touch the circle's boundary. In this case, the rectangle itself doesn't form two areas of a circle, but it can be contained within a circle.
Moving on to the second part of your question, a cylinder does not have two circumferences. A cylinder has two circular bases, which are congruent circles lying in parallel planes. The circumference refers to the distance around the boundary of a circle or a base. So, a cylinder has two separate circumferences: one for the top base and one for the bottom base.
The curved surface of a cylinder connects the two bases, but it does not have its own distinct circumference. The curved surface can be measured in terms of its lateral surface area or its height and the circumference of the base.
In conclusion, a rectangle can be inscribed within a circle, but it does not form two areas in the circle. And, a cylinder has two circular bases, each with its own circumference, but the curved surface does not have a separate circumference.