Respuesta :
Answer:
r=(A/π)^1/2
Step-by-step explanation:
A=πr^2. When dividing π on both sides, you get r^2 = A/π. Meaning that r = the square root of A/π, or (A/π)^1/2
The radius expressed in terms of the area of the circle is [tex]\mathbf{r =\sqrt{ \dfrac{A}{\pi}} }[/tex]
The area of a circle in geometry is explained to be a region in a two-dimensional plane occupied by a circle. It is expressed by using the formula.
A = πr²
where;
- r = radius
- A = area of the circle.
The given question asks us to make (r) the subject of the formula, by doing so, we have:
[tex]\mathbf{r^2 = \dfrac{A}{\pi}}[/tex]
[tex]\mathbf{r =\sqrt{ \dfrac{A}{\pi}} }[/tex]
Learn more about the area of the circle here:
https://brainly.com/question/23328170?referrer=searchResults