Answer:
r = 7
Step-by-step explanation:
The area of a circle is given by the equation A = πr²
We need to manipulate the equation and solve for r
First we need to divide both sides by π and we get [tex]\frac{A}{\pi } =r^{2}[/tex]
We then need to take the square root of both sides to get r by itself which give us [tex]r=\sqrt{\frac{A}{\pi } }[/tex]
Now plugging in our known values we can solve for r
[tex]r=\sqrt{\frac{49\pi }{\pi } }=\sqrt{49} =7[/tex]
Simplifying gives us the result of the radius being 7 square units
