document.write( "Question 1092166: a french window is 6 ft wide and 4 ft high at the sides is surmounted by a semi-circular arch. If the radius of the circular arch is 4 ft, find the height of the window at the center. Find the equation of the circular arch if the origin is at the left corner of the window. \n" ); document.write( "

Algebra.Com's Answer #706768 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
The height of the window at the center is
\n" ); document.write( " $\"+4+%2B+4+=+8+\"$ ft
\n" ); document.write( "The equation of the arch would be:
\n" ); document.write( " $\"+%28+x+-+4+%29%5E2+%2B+y%5E2+=+4%5E2+\"$
\n" ); document.write( " $\"+y%5E2+=+4%5E2+-+%28+x-4+%29%5E2+\"$
\n" ); document.write( " $\"+y+=+sqrt%28+16+-+%28+x-4+%29%5E2+%29+\"$
\n" ); document.write( "-------------------------------
\n" ); document.write( "check:
\n" ); document.write( "Here's the plot:
\n" ); document.write( " $\"+graph%28+800%2C+400%2C+-1%2C+10%2C+-1%2C+5%2C+sqrt%28+16+-+%28+x-4+%29%5E2+%29%29+\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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