Math questions for geometry

Question

Write the equation in standard form for the circle with center ( -10,0 ) passing through ( -10, 23/2)

Answer 1

(x + 10)² + y² = r²;

To get radius of circle we use point (10, 23/2): 0² + (23/2)² = r²; r = 23/2

So, equation of circle: (x + 10)² + y² = 529/4