SOLUTION: Find the equation of the circle with C(-4,2) an is the tangent to the linne 3x+4y-16=0

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Question 455441: Find the equation of the circle with C(-4,2) an is the tangent to the linne 3x+4y-16=0
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The distance of the center (-4,2) from the line 3x + 4y - 16 = 0 can be found from the formula D+=+abs%28ax+%2B+by+%2B+c%29%2Fsqrt%28a%5E2+%2B+b%5E2%29. This distance becomes the radius of the circle. Hence the radius of the circle is
abs%283%2A-4+%2B+4%2A2+-+16%29%2Fsqrt%283%5E2+%2B+4%5E2%29+=+20%2F5+=+4.
Therefore the equation of the circle is
%28x%2B4%29%5E2+%2B+%28y+-+2%29%5E2+=+16.