Question

some famous mathematical problems featuring pi

Answer 1

Here is all I know.

1. A circle of radius 3cm is dissected into 12 sectors of $30^o$ each. Only one of them is bisected. And when they are all arranged together, they form a rectangle. What is the length of this rectangle?
$b=\frac{28.274}{3}$
Answer: We have arranged them to form a rectangle, so the height will be the radius, we know that. Now let's find the area of the circle.
$\pi 9$=28.274. 
This is also the are of the rectangle. We know that area of a rectangle is$A=lb$
So let's simplify out.

$A=lb$
$a=3b$
$28.274=3b$

Let's reverse that last equation.
$b= \frac{28.274}{3}$
$=9.424$

9.424 is pretty much the same as $\pi 3$.

So we can conclude the length is $3* \pi$

Answer 2

Answer:A circle of radius 3cm is dissected into 12 sectors of  each. Only one of them is bisected. And when they are all arranged together, they form a rectangle. What is the length of this rectangle?

Answer: We have arranged them to form a rectangle, so the height will be the radius, we know that. Now let's find the area of the circle.

=28.274. 

This is also the are of the rectangle. We know that area of a rectangle is

So let's simplify out.

Let's reverse that last equation.

9.424 is pretty much the same as .

So we can conclude the length is

Step-by-step explanation: