SOLUTION: Determine the distance from the curve x^2 + y^2 - 16y + 16x + 64 = 0 to point (6,4). A. 6.56 B. 5.24 C. 7.52 D. 4.16

Question 1199589: Determine the distance from the curve x^2 + y^2 - 16y + 16x + 64 = 0 to point (6,4).
A. 6.56
B. 5.24
C. 7.52
D. 4.16
Answer by ikleyn(52915) (Show Source): You can put this solution on YOUR website!
.


Apply completing the squares method and reduce the given equation to equation

     +  = 64.


It is equation of the circle of the radius 8 units centered at point (-8,8) .


The point (6,4) is at the distance

     =  =  =  = 14.56   (rounded)

from the center of that circle.


Hence, the distance from the given point to the circle is  14.56 - 8 = 6.56 units, approximately.

Solved.

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