if the sum of the focal radii of this ellipse is 12 what is the value of a^2?

To find the value of a^2 in an ellipse when the sum of the focal radii is given, we need to use the formula for the sum of the focal radii in terms of the major axis:

Sum of focal radii = 2 √(a^2 - b^2)

where a is the distance from the center to either focus (the semi-major axis), and b is the distance from the center to either vertex (the semi-minor axis).

In our case, the sum of focal radii is given as 12. So we have:

12 = 2 √(a^2 - b^2)

Now, we need more information to solve for a^2. Is there any additional information you can provide about the ellipse?