document.write( "Question 455441: Find the equation of the circle with C(-4,2) an is the tangent to the linne 3x+4y-16=0 \n" ); document.write( "

Algebra.Com's Answer #313107 by robertb(5830) $\"\"$ $\"About$

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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 \r
\n" ); document.write( "\n" ); document.write( " $\"abs%283%2A-4+%2B+4%2A2+-+16%29%2Fsqrt%283%5E2+%2B+4%5E2%29+=+20%2F5+=+4\"$ .\r
\n" ); document.write( "\n" ); document.write( "Therefore the equation of the circle is \r
\n" ); document.write( "\n" ); document.write( " $\"%28x%2B4%29%5E2+%2B+%28y+-+2%29%5E2+=+16\"$ . \n" ); document.write( "

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