If a circle has an area of 49pi what is the radius of the circle?
A = pi * r^2
What's the square root of 49?
To find the radius of the circle, we can use the formula for the area of a circle, which is given by A = πr^2, where A represents the area and r represents the radius.
In this case, we are given that the area of the circle is 49π. So, we can plug this value into the formula:
49π = πr^2
To solve for the radius (r), we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by π:
49π / π = (πr^2) / π
This simplifies to:
49 = r^2
To find the value of r, we take the square root of both sides of the equation:
√49 = √r^2
This simplifies to:
7 = r
Therefore, the radius of the circle is 7.