Final answer:
The radius of the circle is 10.
Step-by-step explanation:
To find the radius of a circle with its center at (4,-2) and another point on the circle at (-4,-8), we can use the distance formula. The distance formula between two points (x1, y1) and (x2, y2) is given by: sqrt((x2 - x1)^2 + (y2 - y1)^2).
Using the distance formula, we can calculate the distance between the center (4,-2) and the given point (-4,-8): sqrt((-4 - 4)^2 + (-8 - (-2))^2) = sqrt(8^2 + (-6)^2) = sqrt(64 + 36) = sqrt(100) = 10.
Therefore, the radius of the circle is 10.