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The rod is useful as a unit of length because integer multiples of it can form one acre of square measure (area). The 'perfect acre' [2] is a rectangular area of 43,560 square feet, bounded by sides 660 feet (a furlong) long and 66 feet (a chain) wide (220 yards by 22 yards) or, equivalently, 40 rods by 4 rods. An acre is therefore 160 square ...
Rood is an English unit of area equal to one quarter of an acre [2] or 10,890 square feet, exactly 1,011.7141056 m 2. A rectangle that is one furlong (i.e., 10 chains , or 40 rods) in length and one rod in width is one rood in area, as is any space comprising 40 perches (a perch being one square rod).
The only thing that changed was the number of feet and yards in a rod or a furlong, and the number of square feet and square yards in an acre. The definition of the rod went from 15 old feet to 16 + 1 ⁄ 2 new feet, or from 5 old yards to 5 + 1 ⁄ 2 new yards. The furlong went from 600 old feet to 660 new feet, or from 200 old yards to 220 ...
A sphere of radius r has surface area 4πr 2.. The surface area (symbol A) of a solid object is a measure of the total area that the surface of the object occupies. [1] The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of arc length of one-dimensional curves, or of the surface area for polyhedra (i.e., objects with ...
Since an acre measured 10 square chains in Gunter's system, the entire process of land area measurement could be computed using measurements in chains, and then converted to acres by dividing the results by 10. [2] Hence 10 chains by 10 chains (100 square chains) equals 10 acres, 5 chains by 5 chains (25 square chains) equals 2.5 acres.
The acre is related to the square mile, with 640 acres making up one square mile. One mile is 5280 feet (1760 yards). In western Canada and the western United States, divisions of land area were typically based on the square mile, and fractions thereof. If the square mile is divided into quarters, each quarter has a side length of 1 ⁄ 2 mile ...
Now there is a square area 234567, find one side of the square. [8] The algorithm is as follows: Set up 234567 on the counting board, on the second row from top, named shi; Set up a marker 1 at 10000 position at the 4th row named xia fa; Estimate the first digit of square root to be counting rod numeral 4, put on the top row (shang) hundreds ...
The vara can be seen in many deeds as late as the mid to late 1900s. 1 acre (0.405 ha) is equivalent to 5,645.376 Texan square varas. A league is equivalent to 5,000 varas squared or 4,428.4 acres (1,792.11 ha). Standardisation of measurement in Texas came with the introduction of varas, cordeles, and leagues.