Question 271014
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C must be the center of the circle, so since QR is a diameter, C must be the mid-point of QR.


Use the mid-point formulae to determine the coordinates of R.


*[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_m,y_m\right)] are the coordinates of C, *[tex \Large \left(x_1,y_1\right)] are the coordinates of Q, and *[tex \Large \left(x_2,y_2\right)] are the coordinates of R. Substitute what you know and then solve:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 3.5\ = \frac{1 + x_2}{2}] and


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2\ = \frac{8 + y_2}{2}]



John
*[tex \LARGE e^{i\pi} + 1 = 0]
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