document.write( "Question 104936: Find the standard form of the equation of the circle which passes through the point (4, -5) and center at (-2,3) \n" ); document.write( "

Algebra.Com's Answer #76387 by Fombitz(32388) $\"\"$ $\"About$

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Find the standard form of the equation of the circle which passes through the point (4, -5) and center at (-2,3)
\n" ); document.write( "The standard form of a circle centered at (h,k) is
\n" ); document.write( " $\"%28x-h%29%5E2%2B%28y-k%29%5E2=R%5E2\"$
\n" ); document.write( "We can calculate R using the center and the point provided.
\n" ); document.write( "The distance between the two points equals the radius.
\n" ); document.write( " $\"D%5E2=R%5E2=%28x%5B2%5D-x%5B1%5D%29%5E2%2B%28y%5B2%5D-y%5B1%5D%29%5E2\"$ Distance = Radius
\n" ); document.write( " $\"%28x-%28-2%29%29%5E2%2B%28y-3%29%5E2=%284-%28-2%29%29%5E2%2B%28-5-3%29%5E2\"$ PLug in all the values
\n" ); document.write( " $\"%28x%2B2%29%5E2%2B%28y-3%29%5E2=%286%29%5E2%2B%28-8%29%5E2\"$ Simplify.
\n" ); document.write( " $\"%28x%2B2%29%5E2%2B%28y-3%29%5E2=100\"$ Final answer.
\n" ); document.write( "Circle with center (-2,3) and passing through (4,-5) has a radius of 10. \n" ); document.write( "

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