What is the equation of the circle with center (4, 4) that passes through the point (10, 14)?

A) - 4)2 + (y + 4)2 = 32
B) (x + 4)2 + (y - 4)2 = 48
C) (x - 4)2 + (y - 4)2 = 64
D) (x – 4)2 + (y - 4)2 = 136

Step-by-step explanation:

You use the given information in the standard form of a circle equation to solve for r.  We have (h, k) which is the center and a point (x, y).  The standard equation for a circle is

Filling in:

and

and

Now that we used the coordinate we don't need it anymore.  x and y go back into the equation as x and y, not numbers.  We do, however, need the center.  Writing the equation:

which is choice D.

i would say c is the best answer, hope it's right!

good luck! =)

cutie~