Final answer:
The radius of the circle is 7/2.
Step-by-step explanation:
To find the radius of a circle given the center and a point on the circle, we can use the distance formula. The distance between two points (x1, y1) and (x2, y2) is given by the formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2).
In this case, the center of the circle is (-10, 0) and the point on the circle is (-10, 7/2).
Plugging these values into the distance formula, we get: d = sqrt((-10 - (-10))^2 + (7/2 - 0)^2) = sqrt(0 + (7/2)^2) = sqrt(49/4) = 7/2.
Therefore, the radius of the circle is 7/2.