Pls help me and guide me into solving this. My maths is weak so please explain to me step by step. Anyway this a a programming question. i just need steps to solve it. There is also a hint : using perpendicular line formula

Attempt solution/what i think : Using A & B to get m1 then using perpendicular formula, to get m2(at point D). Apply same method to get m at E. so now the two mD and mE will intersect at center. From here i am lost and how to find the center coords and the radius.

Thanks