SOLUTION: .Find the equation of the smaller circle that is tangent to the axes and the circle x^2+y^2=2x+2y-1

SOLUTION: .Find the equation of the smaller circle that is tangent to the axes and the circle x^2+y^2=2x+2y-1

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Question 936629: .Find the equation of the smaller circle that is tangent to the axes and the circle x^2+y^2=2x+2y-1
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
First find the equation of the circle by completing the square in x and y.

The circle is centered at (1,1) and has a radius of 1.

The point of intersection of the large circle and the small circle is shown in the diagram.
The coordinates of the position are given by,

or approximately (0.2929,0.2929).
That distance is equal to,

So the smaller circle is centered at (0.1715,0.1715) and has a radius of 0.1715.
So the equation would be,

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