Question

Need some help with this coordinate geometry problem! Will medal+fan!
Circle K lies In the x-y coordinate plane, has its center at (-2,5), and passes through the point (1,1). Which of the following points does circle K NOT pass through?
A. (1,9)
B.(-5,9)
C.(-5,1)
D.(-2,0)
E. (0,5)

Answer 1

general form of circle
\[\large\rm (x-h)^2+(y-k)^2=r^2\]
where (h,k) is the center and (x,y) the point
and r is the radius
so first substitute (x,y) for given point and (h,k) for (-2,5) then solve for r

Answer 2

(1+2)^2+(1-5)^2

Answer 3

radius is 5, right?

Answer 4

correct now substitute (h,k) with center and r with 5
then test each option
substitute (x,y) for each option and see which one give you the true statement

Answer 5

actually u have to find which one NOT true

Answer 6

The answer is E

Answer 7

Right?

Answer 8

why do you think its E ?
post the work :=))

Answer 9

Becuase: (0+2)^2+(5-5)^2=4, BUT THE RADIUS SQUARED NEEDS TO BE 25

Answer 10

right?

Answer 11

YES lel

Answer 12

good work!