If the radius of a circle that centers at the origin is 5, how many points Q on the circle have integer coordinates? Choose the correct option.
A) 4 B) 8 C) 12 D) 15 E) 20

Rationale: "i understand this might not be required but i used the equation of a circle . since the origin is at 0 , x ^ 2 + y ^ 2 = 5 ^ 2 . x , y could be + / - ( 0,5 or 5,0 ) - 4 possibilities . x , y could be + / - ( 3,4 or 4,3 ) - 8 possibilities . ans : q = c"
Answer: C