ImagickDraw::pathLineToRelative

Hope this of help of anything, I had one hell of a time to draw a simple pie slice, where in GD2 is very easily done with the 'arc' function.. this is a bit harder to do in imagick.
The degrees are a mess, seems like the path, arc and ellipse functions all use a different system.. utterly confusing.
Code below should at least be of help in understanding how it works.
For an example of the output, please see: 
http://www.imagebam.com/image/8e0ca432393602
<?php
 function getPointOnCircumference( $widthOfCircle, $heightOfCircle, $degrees, $x = 0, $y = 0 )
 {
 return array( 
 'x' => $x + ($widthOfCircle/2) * sin( deg2rad( $degrees ) ),
 'y' => $y + ($heightOfCircle/2) * cos( deg2rad( $degrees ) )
 );
 }
 
 $width = 200;
 $height = 200;
 $border = 2;
 $x = $width / 2;
 $y = $height / 2;
 $im = new Imagick();
 $im->newImage( $width, $height, "orange", "png" );
 
 
 $draw = new ImagickDraw();
 $draw->setFillColor( 'lime' );
 $draw->setStrokeColor( new ImagickPixel( 'black' ) );
 $draw->setStrokeWidth( 2 );
 $draw->arc( 0, 0, ($width-$border), ($height-$border), 270, 360 ); //270 till 360 degrees
 $im->DrawImage( $draw );
 
 $draw2 = new ImagickDraw();
 $draw2->setFillColor( 'red' );
 $draw2->setStrokeColor( new ImagickPixel( 'black' ) );
 $draw2->setStrokeWidth( 2 );
 $draw2->ellipse( 100, 100, $x-$border, $y-$border, 0, 90 ); //0 till 90 degrees
 $im->DrawImage( $draw2 );
 
 $draw3 = new ImagickDraw();
 $draw3->setFillColor( 'navy' );
 $draw3->setStrokeColor( new ImagickPixel( 'white' ) );
 $draw3->setStrokeWidth( 2 );
 $draw3->pathStart();
 $degrees90 = getPointOnCircumference( $width-2*$border,$height-2*$border, 360 );
 $degrees180 = getPointOnCircumference( $width-2*$border,$height-2*$border, 270 );
 $draw3->pathMoveToRelative( $x, $y ); //Move 'pencil' to middle of image.
 $draw3->pathLineToRelative( $degrees90['x'], $degrees90['y'] );
 $draw3->pathEllipticArcRelative( $width-$border, $height-$border, 0, false, true, $degrees180['x'], $degrees180['y']-$y+$border );
 $draw3->pathClose();
 $im->DrawImage( $draw3 ); 
 
 header( "Content-Type: image/png" );
 echo $im;
?>