# Circle

The circle touches two parallel lines p and q, and its center lies on line a, which is the secant of lines p and q.

Write the equation of the circle and determine the coordinates of the center and radius.

p: x-10 = 0
q: -x-19 = 0
a: 9x-4y+5 = 0

Correct result:

xS =  -4.5
yS =  -8.88
r =  NAN

#### Solution:

${y}_{S}=\left(23.75+\left(-41.5\right)\right)\mathrm{/}2=-\frac{71}{8}=-8.88$

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