How could I fill the green portion between two arcs shown below using the paint and canvas methods?

Here is how I draw the two arcs, I also could figure out how to connect them with lines but I don't know how I can fill the inner area.
    // set to stroke black
    paint.setColor(Color.BLACK);
    paint.setStyle(Paint.Style.STROKE);
    paint.setStrokeWidth((float) STROKE_WIDTH);
    // outside arc
    RectF arc_oval_outside = new RectF((float) (getX()), (float) (getY()),
            (float) (getX() + getWidth()), (float) (getY() + getHeight()));
    canvas.drawArc(arc_oval_outside, (float) (0.0), (45.0) (ARC_SWEEP), false, paint);
    // inside arc
    RectF arc_oval_inside = new RectF((float) (getX() + ARC_WIDTH), (float) (getY() + ARC_WIDTH),
            (float) (getX() + getWidth() - ARC_WIDTH), (float) (getY() + getHeight() - ARC_WIDTH));
    canvas.drawArc(arc_oval_inside, (float) (0.0), (float) (ARC_SWEEP), false, paint);
                Here is a simple way to draw filled arc with border:
Point center = new Point(canvas.getWidth()/2, canvas.getHeight()/2);
int inner_radius = 100;
int outer_radius = 150;
int arc_sweep = 90;
int arc_ofset = 30;
RectF outer_rect = new RectF(center.x-outer_radius, center.y-outer_radius, center.x+outer_radius, center.y+outer_radius);
RectF inner_rect = new RectF(center.x-inner_radius, center.y-inner_radius, center.x+inner_radius, center.y+inner_radius);
Path path = new Path();
path.arcTo(outer_rect, arc_ofset, arc_sweep);
path.arcTo(inner_rect, arc_ofset + arc_sweep, -arc_sweep);
path.close();
Paint fill = new Paint();
fill.setColor(Color.GREEN);
canvas.drawPath(path, fill);
Paint border = new Paint();
border.setStyle(Paint.Style.STROKE);
border.setStrokeWidth(2);
canvas.drawPath(path, border);

(The Path and Paint allocation is made to be clear not optimal)
I Know it could be a little bit late but I came with this approach from a  iOS project, first draw contour and then draw the filling
 arc
protected void onDraw(Canvas canvas) {
    super.onDraw(canvas);
    float width = (float)getWidth();
    float height = (float)getHeight();
    float radius;
    //Get radius from the bigger size
    if (width > height){
        radius = height/2;
    }else{
        radius = width/2;
    }
    //Create Paint Object
    Paint paint = new Paint();
    paint.setColor(Color.RED);
    paint.setFilterBitmap(true);
    paint.setAntiAlias(true);
    paint.setStrokeWidth(5);
    paint.setStyle(Paint.Style.STROKE);
    //Create Contour Object
    Path path = new Path();
    float center_x, center_y;
    center_x = width/2;
    center_y = height/2;
    //Configure rect for the outer ring
    final RectF oval = new RectF();
    oval.set(center_x - radius + 5,
            center_y - radius + 5,
            center_x + radius - 5,
            center_y + radius - 5);
    //Add outer arc
    path.addArc(oval, 0, 90);
    //Configure rect for the inner ring
    oval.set(center_x - radius + 30,
            center_y - radius + 30,
            center_x + radius - 30,
            center_y + radius - 30);
    //Add inner arc to the path but draw counterclockwise
    path.arcTo(oval, -270, -90);
    //close path
    path.close();
    //Create Paint Object
    Paint fillPaint = new Paint();
    fillPaint.setColor(Color.YELLOW);
    fillPaint.setFilterBitmap(true);
    fillPaint.setAntiAlias(true);
    fillPaint.setStrokeWidth(21);
    fillPaint.setStyle(Paint.Style.STROKE);
    //Create Contour Object
    Path fillPath = new Path();
    //Configure rect for the fill ring
    oval.set(center_x - radius + 17,
            center_y - radius + 17,
            center_x + radius - 17,
            center_y + radius - 17);
    //Add fill arc
    fillPath.addArc(oval, 0, 90);
    //draw fill path
    canvas.drawPath(fillPath,fillPaint);
    //draw outer path
    canvas.drawPath(path, paint);
}
A helpfull link: http://www.programering.com/a/MDO1czNwATE.html where addarc maths are quite well explained
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