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| Math Central | Quandaries & Queries |
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Question from mikee, a student: find the equation of a circle tangent to the circle x2+y2=4 and with the center at (0,5) |
Hi Mikee,
The circle \[x^2 + y^2 = 4\]
has center $(0,0)$ and radius $\sqrt{4} = 2.$ I drew a diagram.
What is the radius of a circle with center $(0,5$ and tangent to the circle in the diagram? What is its equation.
Why does the problem say "find the equation of A circle..." rather than "find the equation of THE circle..."? Is there more than one answer?
Penny
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