Get physical screen size in Qt

The following method worked for me to get accurate physical size of my screen in mm.

QSizeF screenSize = QGuiApplication::primaryScreen()->physicalSize();

However, in Qt documentation I found the following sentence:

Depending on what information the underlying system provides the value might not be entirely accurate.

So it might not work for your system.

Here is my (quick and dirty) example. It seems to work for me and I hope it works for you. I'm assuming you can take care of main.cpp on your own. I did this on a MacBook Air 11.6" and substituted a picture of a dime for the USA icon included with OS X:

#ifndef WINDOW_H
#define WINDOW_H

#include <QtGui>

class Window : public QWidget
{
    Q_OBJECT

public:
    QWidget *canvas;
    QSlider *slider;
    QPixmap pixmap;

private:
    qreal zoom;
    qreal pixels;
    qreal px_width;
    qreal px_height;
    qreal mm_width;
    qreal mm_height;

public:
    Window();
    void paintEvent(QPaintEvent *);

public slots:
    void setZoom(int);
};

Window::Window()
{
    QHBoxLayout *layout = new QHBoxLayout;

    canvas = new QWidget;
    slider = new QSlider;
    slider->setMinimum(0);
    slider->setMaximum(100);
    slider->setValue(50);

    layout->addWidget(canvas);
    layout->addWidget(slider);

    this->setLayout(layout);

    if(!pixmap.load(":/resources/USA.gif"))
    {
        qDebug() << "Fatal error: Unable to load image";
        exit(1);
    }

    QObject::connect(slider, SIGNAL(valueChanged(int)), SLOT(setZoom(int)));
}

void Window::paintEvent(QPaintEvent *event)
{
    QPainter paint;
    paint.begin(this);
    paint.scale(zoom, zoom);
    paint.drawPixmap(0,0, pixmap);
    paint.end();
}

void Window::setZoom(int new_zoom)
{
    zoom = (qreal)(50+new_zoom) /50;
    pixels = pixmap.width() * zoom;

    QDesktopWidget desk;

    px_width = desk.width() / pixels;
    px_height = desk.height() / pixels;
    mm_width = px_width * 17.9;
    mm_height = px_height * 17.9;

    qDebug() << "Zoom: " << zoom;
    qDebug() << "desk.widthMM:" << desk.widthMM();
    qDebug() << "px_width: " << px_width;
    qDebug() << "px_height: " << px_height;
    qDebug() << "mm_width: " << mm_width;
    qDebug() << "mm_height: " << mm_height;

    this->repaint();
}

#include "moc_window.cpp"

#endif // WINDOW_H