Draw an arc/circle sector in QML?

I know that it is possible to draw a circle in QML using the following code:

Rectangle {
     width: 150
     height: 150
     anchors.horizontalCenter: parent.horizontalCenter
     anchors.top: parent.top
     color: "#095e7b"
     border.color: "#0a2f4a"
     border.width: 2
     radius: width*0.5
}

My question is: what if I need to draw a sector of a circle. (Pizza Slices) and make each of these slices clickable? Can I do this using QML only?

Yes, using Canvas (and Context2D):

import QtQuick 2.3

Rectangle {
    width: 400
    height: 400

    Canvas {
        anchors.fill: parent
        onPaint: {
            var ctx = getContext("2d");
            ctx.reset();

            var centreX = width / 2;
            var centreY = height / 2;

            ctx.beginPath();
            ctx.fillStyle = "black";
            ctx.moveTo(centreX, centreY);
            ctx.arc(centreX, centreY, width / 4, 0, Math.PI * 0.5, false);
            ctx.lineTo(centreX, centreY);
            ctx.fill();

            ctx.beginPath();
            ctx.fillStyle = "red";
            ctx.moveTo(centreX, centreY);
            ctx.arc(centreX, centreY, width / 4, Math.PI * 0.5, Math.PI * 2, false);
            ctx.lineTo(centreX, centreY);
            ctx.fill();
        }
    }
}

I actually took the code for this from this answer, as Qt's Canvas implements the HTML5 Canvas API. This makes it really easy to find examples on the web; just search for "draw pie slice blah html5 canvas", for example.

For the mouse detection, you'll have to brush off your maths skills...

... or just steal the code from here. :)

Note that Canvas only repaints when it's resized, or when requestPaint() is called, so if you want to change the colour of a slice depending on the mouse position, you'll need to call that function to see the colour change.