Kharj is a governorate in central Saudi Arabia. It is one of the important governorates in Saudi Arabia. Located southeast of the capital, Riyad…Kharj is a governorate in central Saudi Arabia. It is one of the important governorates in Saudi Arabia. Located southeast of the capital, Riyadh, it covers an area of 7640 mi² and has a population of 376,325 people, according to the statistics of the General Authority for Statistics for 2010. The city of Al-Saih is the capital of modern Kharj and its administrative and economic center.