Question

What is the radius of a circle with an area of 49 pi

Answer 1

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 $\frac{A}{\pi } =r^{2}$

We then need to take the square root of both sides to get r by itself which give us $r=\sqrt{\frac{A}{\pi } }$

Now plugging in our known values we can solve for r

$r=\sqrt{\frac{49\pi }{\pi } }=\sqrt{49} =7$

Simplifying gives us the result of the radius being 7 square units