A right triangle is shown in the graph. y (a, y) (a, b) b a 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) Part C: Is the point (10, 2) inside the border of the circle if (a, b) = (5, -2) and c = 10? Explain using mathematical evidence. (3 points)