Question 1044110
<font face="Times New Roman" size="+2">


The center of a circle is the midpoint of a diameter. So, given a midpoint and endpoint of a line segment, calculate the coordinates of the other endpoint using the midpoint formulas:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x_m\ = \frac{x_1 + x_2}{2}] and


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y_m\ = \frac{y_1 + y_2}{2}]


where *[tex \Large \left(x_1,y_1\right)] and *[tex \Large \left(x_2,y_2\right)] are the coordinates of the end points and *[tex \Large \left(x_m,y_m\right)] are the coordinates of the midpoint.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ (x\ -\ h)^2\ +\ (y\ -\ k)^2\ =\ r^2]


is the equation of a circle with center *[tex \Large \left(h,k\right)] and radius *[tex \Large r].


The radius of a circle is the distance from the center to any point on the circle. Use the distance formula to find the radius.  Since the equation of the circle requires the value of the radius squared, you don't need to take the square root when using the distance formula.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ d\ =\ \sqrt{(x_1\ -\ x_2)^2\ +\ (y_1\ -\ y_2)^2}]


where *[tex \Large \left(x_1,y_1\right)] and *[tex \Large \left(x_2,y_2\right)] are the coordinates of the end points of the segment for which you want to determine the length.


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
<img src="http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg">
*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \  

</font>