document.write( "Question 798397: Find an equation of a circle satisfying the given conditions : center (-8,5) with circumference 10π units\r
\n" ); document.write( "\n" ); document.write( "Can you please help me out? Thanks so much in advance:)
\n" ); document.write( "Can you also please show the work it would really help me:) \n" ); document.write( "
Algebra.Com's Answer #482169 by nerdybill(7384)\"\" \"About 
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Find an equation of a circle satisfying the given conditions : center (-8,5) with circumference 10π units
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\n" ); document.write( "Standard form of an equation is:
\n" ); document.write( "(x - h)^2 + (y-k)^2 = r^2
\n" ); document.write( "where
\n" ); document.write( "(h,k) is the center
\n" ); document.write( "r is the radius
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\n" ); document.write( "The problem already gave you the center as (-8,5)
\n" ); document.write( "so already you know:
\n" ); document.write( "h = -8
\n" ); document.write( "k = 5
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\n" ); document.write( "You get the radius from the given circumference of 10(pi)
\n" ); document.write( "circumference = 2(pi)r
\n" ); document.write( "10(pi) = 2(pi)r
\n" ); document.write( "10 = 2r
\n" ); document.write( "5 = r (radius)
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\n" ); document.write( "Now, we just plug it in to:
\n" ); document.write( "(x - h)^2 + (y-k)^2 = r^2
\n" ); document.write( "(x - (-8))^2 + (y-5)^2 = 5^2
\n" ); document.write( "(x+8)^2 + (y-5)^2 = 25 (answer)
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