Final answer:
To find the radius of the circle, we need to rewrite the equation of the circle in the standard form (x - h)² + (y - k)² = r². .The radius of the circle is 12.
Step-by-step explanation:
To find the radius of the circle, we need to rewrite the equation of the circle in the standard form (x - h)² + (y - k)² = r².
Comparing the given equation (x² + 7)² + (y - 2)² = 144 to the standard form, we can see that the coordinates of the center of the circle are (h, k) = (-7, 2) and the radius of the circle is r = √144 = 12.
So, the radius of the circle is 12.