The Length of one side of a rectangle is twice as long as the radius of a circle. You want the area of the rectangle to equal the area of the circle.

How would I solve?

Question

The Length of one side of a rectangle is twice as long as the radius of a circle. You want the area of the rectangle to equal the area of the circle.

How would I solve?

anonymous · Answer

The other side should be equal to circumference.

bacon · Answer

Why is it (2r) in the 3rd equation and not just r?

bacon · Answer

@Justanotherguy

phi · Answer

I would translate
 Length of one side of a rectangle is twice as long as the radius
to 
L  (length of one side) = (is)  2 * (twice as long) r (the radius)
or
L= 2r

the area of the rectangle is W*L = W*2*r
area of the circle is pi r^2
so we have
2rW= pi r^2

phi · Answer

to solve for W in
$$ 2rW= \pi r^2$$
divide both sides by 2r
$$ \frac{2r W}{2r} = \frac{\pi r^2}{2r} $$
and simplify

anonymous · Answer

@Bacon Sorry, I had to leave for some work. And thanks @phi !