A right triangle is shown in the graph. 31 (a, b) b 4 a (x,y) Part...

 

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A right triangle is shown in the graph. 31 (a, b) b 4 a (x,y) 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 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)) A right triangle is shown in the graph. 31 (a, b) b 4 a (x,y) 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 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))