# How can you convert the area of a rectangle into the area of a circle?

Aug 4, 2018

color(maroon)(r = sqrt((lw) / pi)

#### Explanation:

I understand the question to be Area of rectangle = Area of circle and you want the relationship between the measurements of the two.

$\text{Area of rectangle " A_R = l * w, " length * width}$

$\text{Area of circle " A_C = pi r^2, " r the radius of circle}$

$\therefore {A}_{R} = {A}_{C} \text{ or } l \cdot w = \pi {r}^{2}$

color(maroon)(r = sqrt((lw) / pi)