Hello, I was wondering if you could Could you help me out? So in class, I'm currently learning about Circles- Finding circle equations, the radius, and The circumcenter. My teacher doesn't completely explain and was wondering could you help me with figuring out three problems and continually explain it to me and writing out the process of how you got the radius and the circumcenter and another step I don't understand. here's a picture of the coordinates and problems I am supposed to be answering

For each of the following problems, you are to do three things: 1. Determine the coordinates of the center of the circle that contains the three given points. (Note: This is the same task as finding the coordinates of the circumcenter of the triangle that has the given points as vertices.) 2. Determine the precise length of the radius of this circle. And, if that precise value is a radical, an estimate to o decimal place. 3. Identify the coordinates of at least three other points that lie on the same circle as the ones given. 4. Provide the equation of the circle. A (-7, - 2), (3, 8), (5, 4) D (-2, -6), (4, 6), (3, -1) B (-11, -3), (-4, 4), (4, 0) E (5, 12), (-1, -10), (9, -8) C (0, 7), (3, -2), (1, -6) F (3, -1), (6, -10) , (2, -18)