document.write( "Question 781502: Write the equation of the circle in which the endpoints of its diameter are A(0,0) and B(0,6).\r
\n" ); document.write( "\n" ); document.write( "I honestly don't know how to get this answer. The answer in the back of the book gives x^2+(y-3)^2=9. The book doesn't nor the online videos that come with the book have any examples of this type of problem. \n" ); document.write( "

Algebra.Com's Answer #476084 by lwsshak3(11628) $\"\"$ $\"About$

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Write the equation of the circle in which the endpoints of its diameter are A(0,0) and B(0,6)
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\n" ); document.write( "Standard form of equation for a circle: $\"%28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2\"$ , (h,k)=(x,y) coordinates of center, r=radius
\n" ); document.write( "coordinates of center=coordinates of mid point of given end-points A and B
\n" ); document.write( "Use midpoint formula:
\n" ); document.write( "((0+0)/2),(6+0)/2=(0,3)
\n" ); document.write( "radius=distance between center and either one of given end-points, say, A
\n" ); document.write( "Use distance formula:
\n" ); document.write( "r=√(0-0)^2+(0-3)^2)=√9=3
\n" ); document.write( "Equation of given circle:
\n" ); document.write( " $\"x%5E2%2B%28y-3%29%5E2=9\"$ \n" ); document.write( "

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