Question:
Solution:
1. take x1, y1, x2, y2, x3 and y3 as input.
2. calculate m1 and m2. m1= (y2-y1)/(x2-x1); m2= (y3-y1)/(x3-x1);
3. for different condition (values) of m1 and m2 the formula to find h and k (circles center) will be different.
4. Formulas of h and k on different conditions
(i) m2=0; k=(x2-x3)/m1/2+(y1+y2)/2; h=(x1+x3)/2;
(ii) m1=0; k=(x3-x2)/m2/2+(y1+y3)/2; h=(x1+x2)/2;
(iii) m1!=0 and m2!=0; h=((x1+x2)/m1-(x1+x3)/m2+y2-y3)/2/(1/m1 - 1/m2);
k=( h-(x1+x2)/2)/(-m1)+(y1+y2)/2;