SOLUTION: find the standard equation of cire that passes through irigin has radius 5 and such that y_co ordinate of its centre is -4

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Question 1008214: find the standard equation of cire that passes through irigin has radius 5 and such that y_co ordinate of its centre is -4
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Standard Form Equation for a Circle, %28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2, center (h,k) and radius r.

Your given circle has center (?,-4), you do not immediately know the x coordinate. You only know that (0,0) is a point on the circle, r=5, and some unknown point (x,-4) is therefore 5 units distance from the origin (0,0). In an equation,

sqrt%28%28x-0%29%5E2%2B%28-4-0%29%5E2%29=5

sqrt%28x%5E2%2B16%29=5

x%5E2%2B16=25

x%5E2=9

x=0%2B-+3
Center can be (-3,-4) or (3,-4).

Circle can be .