document.write( "Question 55098: I need an equation for finding the coordinates of the midpoint of an arc if only given the endpoint and centerpoint coordinates: A(x1,y1), B(x2,y2), CC(x,y). The arc is in a 2D Cartisian plane in Quadrant I but can be in any orientation. I already tried some solutions using the chord of AB and the cosine of the arcangle, but these only worked in certain orientations.
\n" ); document.write( "Any help is greatly appreciated! \n" ); document.write( "

Algebra.Com's Answer #37384 by Hook(36) $\"\"$ $\"About$

You can put this solution on YOUR website!
I think you're on the right track. I'm going to get away from the trig part, though.\r
\n" ); document.write( "\n" ); document.write( "Here's the tack I think you should take.\r
\n" ); document.write( "\n" ); document.write( "1) Find the midpoint of chord AB. I'll call that point M.
\n" ); document.write( "2) Prove that the line from C through M must also go through the midpoint of your arc(if its a geometry class. It may be acceptable to just throw that statement on the table in an Algebra class).
\n" ); document.write( "3) Find the equation of the line that passes through M and C
\n" ); document.write( "4) figure out where the line intersects your arc. \r
\n" ); document.write( "\n" ); document.write( "Let me know if that's enough direction for ya... \n" ); document.write( "

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