a county of South Wales, is bounded on the north by Montgomeryshire; on the east by Shropshire and Herefordshire; on the south and south-west by Brecknockshire; and on the west by Cardiganshire; extending 30 miles in length and 25 in breadth. This county is divided into six hundreds, in which are contained three market-towns, 52 parishes, and in 1811 there were 4165 houses, and 20,900 inhabitants. It is seated in the diocese of Hereford, and sends two members to parliament, one for the county and one for the town of Radnor. The soil in general is but indifferent; yet some places produce corn, particularly the eastern and southern parts; but in the northern and western, which are mountainous, the land is chiefly stocked with horned cattle, sheep, and goats. See RADNORSHIRE, Supplement.

RADIX. See Root.