document.write( "Question 1087376: Line segments AB and CD are both diameters of a circle that passes through the origin of a set of coordinates axes. If AB lies on the line whose equation is y=2x+3 and if CD lies on the line whose equation whose equation is y=3x+2, what is the area of the circle? \n" ); document.write( "

Algebra.Com's Answer #701649 by ikleyn(52814) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "1.  Find the intersection point of these lines.\r\n" );
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document.write( "    For it, solve the system of equations to get (x,y) = (1,5) as the intersection point.\r\n" );
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document.write( "       (I solved it mentally - hence, you can do the same . . . )\r\n" );
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document.write( "2.  Find the distance from the intersection point to the origin.\r\n" );
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document.write( "    It is  = .\r\n" );
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document.write( "    Thus the radius of the circle is  units.\r\n" );
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document.write( "3.  Then the area of the circle is  = .\r\n" );
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