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OpenStudy (anonymous):

general form of the equation of a circle with its center at (-2, 1) and passing through (-4, 1)?

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OpenStudy (debbieg):

Standard form equation for a circle with center (h,k) and radius r is: \(\large(x-h)^{2}+(y-k)^{2}=r^2\) So you have the center, now you just need the radius. Well, given the center and a point on the circle, the radius is just the distance between those 2 points. so use the distance formula to find the distance between those 2 points, which is your r: \(\large d=\sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2}}\) Then plug your center point coordinates, and your r, back into the circle equation that I gave you above.

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