In the xy-plane, the graph of the equation $(x-6)^{2}+(y-2)^{2}=36$ i…

Question

Prompt

In the xy-plane, the graph of the equation

(x - 6)^{2} + (y - 2)^{2} = 36

is a circle. The point (12, c), where c is a constant, lies on this circle. What is the value of c?