SOLUTION: Find the equation, in standard form, of the circle. Center (-4,9), targent to the x-axis

Algebra ->  Equations -> SOLUTION: Find the equation, in standard form, of the circle. Center (-4,9), targent to the x-axis      Log On


   

Question 1183681: Find the equation, in standard form, of the circle.
Center (-4,9), targent to the x-axis
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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Find the equation, in standard form, of the circle.
Center (-4,9), highlight%28cross%28targent%29%29 TANGENT to the x-axis
~~~~~~~~~~~~~ 

Since the circle is tangent to x-axis, the radius of the circle is 9 units.


THEREFORE, the standard equation of this circle is


    %28x-%28-4%29%29%5E2 + %28y-9%29%5E2 = 9^2,

or

    %28x%2B4%29%5E2 + %28y-9%29%5E2 = 81.      ANSWER

Solved, answered and explained.