SOLUTION: Find an equation of a circle satisfying the given conditions a) center (2,4) and tangent to the x axis Can you please help me out thanks so much in advance:)

Algebra ->  Circles -> SOLUTION: Find an equation of a circle satisfying the given conditions a) center (2,4) and tangent to the x axis Can you please help me out thanks so much in advance:)      Log On


   

Question 798473: Find an equation of a circle satisfying the given conditions
a) center (2,4) and tangent to the x axis
Can you please help me out thanks so much in advance:)
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
You want the radius to be 4 units, so as to be center offset that many units. You already know the given center, so

highlight%28%28x-2%29%5E2%2B%28y-4%29%5E2=4%5E2%29
Notice how the "r" and the "k" would compare in the standard form.

Showing the lower half of the relation as a function, slightly narrowed view field:
graph%28300%2C300%2C-1%2C9%2C-1%2C9%2C4-sqrt%2816-%28x-2%29%5E2%29%29