Part A: Use the Pythagorean Theorem to derive the standard equation of the circle, with center at (a, b) and a point on the circle at (x, y). Show all necessary math work. (3
points)
Part B: If (a, b) (5,-2) and c = 10, determine the domain and range of the circle. (4 points)
(3 points)
Part C: Is the point (10,2) inside the border of the circle if (a,b) = (5,-2) and c=10? Explain