Please answer all parts

A right triangle is shown in the graph. A y. 3' (an :1) Part A: Use the Pythagorean Theorem to derive the standard equation of the circle with center at (r, s) and a point on the circle at (X, y). Show all necessary math work. (3 points) Part B: If (r, s) = (7, 4) and t = 10, determine the domain and range of the circle. (4 points) Part C: Is the point (9, 1) inside the border of the circle if (r, s) = (7, 4) and t = 10? Explain using mathematical evidence. (3 points)