Acircle has a center (3,5) and a diameter ab. the coordinates of a are (-4,6). what are the coordinates of b?

Find the length of the radius.



Find the length of the diameter.

d = 2r = 2 × 5√2 = 10√2

Point B must lie on a line AC, where C is a center of a circle.
Find equation of line AC.
A(–4, 6), C(3, 5)

 

The distance from B(x, y) to C(3, 5) is 5√2.


Solve system of equations.




Point B could have coordinates


But (–4, 6) are the coordinates of point A.
Therefore, point B has coordinates (10,4).

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