If you have radius and center cordinates then you can use the standred equation of circle.
((X- H)*(X -H)) + ((Y -K)*(Y - K)) = R*R
H -> center x cordinate
K -> center y cordinate
R -> Radius
X -> x cordinate of given point
Y -> y cordinate of given point
Make a function which take two arguments ( given point x and y cordinate) and return a bool flag ( true if circle passes through given point otherwise false).
calculate X -H and get its sqrt
(Given point X - Center Point X)
calculate Y -K and get its sqrt
add both result and compare with radius square
if both equal the and get its sqrt
1 : Please take care of floating point issues
2 : This is for one point you can extend for more points
3 : make a struct for point , that would be a good candidate like