SOLUTION: the x and y-axis are tangent to a circle with radius 3 units. Write a standard equation of the circle. show on graph

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Question 1178453: the x and y-axis are tangent to a circle with radius 3 units. Write a standard equation of the circle. show on graph
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
The problem doesn't state which quadrant the circle is in.
Assuming the circle is in Q1, the center is at (3,3) and r=3 so you get:
+%28x-3%29%5E2+%2B+%28y-3%29%5E2+=+3%5E2+
or
+%28x-3%29%5E2+%2B+%28y-3%29%5E2+=+9+
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If the circle is in Q2, then the center is at (-3,3) and you get:
+%28x%2B3%29%5E2+%2B+%28y-3%29%5E2+=+9+
Q3: center at (-3,-3): +%28x%2B3%29%5E2+%2B+%28y%2B3%29%5E2+=+9+
Q4: center at (3,-3): +%28x-3%29%5E2+%2B+%28y%2B3%29%5E2+=+9+