Radius of a Circle: Solving Negative Equations

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AI Thread Summary
The discussion revolves around understanding the negative signs in the equations related to the radius of a circle. The user is confused about the negative in the expression h-2k+2 and the use of a negative square root in the denominator. It is clarified that when finding perpendicular distances from the center of the circle to the tangents, the constant C in the tangent equation should be made positive. This adjustment helps in accurately determining the radius and center of the circle. Overall, the focus is on resolving the confusion regarding the signs in the equations for proper calculation.
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Homework Statement



circle.jpg


Homework Equations



Why is there negative on h-2k+2?and a denominator of negative square root of 5?
also in 2h-k-17, it has a negative sign but the denominator is not negative square root of 5? I really don't understand this part... please explain :frown:
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The Attempt at a Solution

 
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In this problem center of the circle lies between the two tangents. In such cases, to find the perpendicular distances, you have to make the constant C in the tangent positive.
 

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