SOLUTION: The point (6,-5) lies on a circle whose center is at (-2,3). Find an equation of this circle.
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Question 242299: The point (6,-5) lies on a circle whose center is at (-2,3). Find an equation of this circle.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The equation of a circle with center )
and radius 
is
^2 + (y - k)^2 = r^2)
You already have the center given to you, so all you need is the radius. Since a circle is the locus of points equidistant from a point called the center, all you need is the distance from the center to the given point. Reach in the tool box and take out the Distance Formula:
^2\ +\ (y_1\ -\ y_2)^2)
Where )
and )
are the coordinates of the given point and the center.
Calculate the radius squared, then substitute 
, 
, and 
into the general equation to get your specific equation. Remember to pay close attention to the signs.
John
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