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If the square mile is divided into quarters, each quarter has a side length of 1 ⁄ 2 mile (880 yards) and is 1 ⁄ 4 square mile in area, or 160 acres. These subunits are typically then again divided into quarters, with each side being 1 ⁄ 4 mile long, and being 1 ⁄ 16 of a square mile in area, or 40 acres. In the United States, farmland ...
Bretschneider's formula generalizes Brahmagupta's formula for the area of a cyclic quadrilateral, which in turn generalizes Heron's formula for the area of a triangle.. The trigonometric adjustment in Bretschneider's formula for non-cyclicality of the quadrilateral can be rewritten non-trigonometrically in terms of the sides and the diagonals e and f to give [2] [3]
In geometry, calculating the area of a triangle is an elementary problem encountered often in many different situations. The best known and simplest formula is T = b h / 2 , {\displaystyle T=bh/2,} where b is the length of the base of the triangle, and h is the height or altitude of the triangle.
As the U.S. is in the Northern Hemisphere, if a section's or township's east and west sides lie along meridians, its north side is shorter than its south side. As sections were surveyed from south and east to north and west, accumulated errors and distortions resulted in the north and west lines, and north and west sections diverged the most ...
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 rods or 10 square chains. The name perch derives from the Ancient Roman unit, the pertica.
If the lengths of the three sides are known then Heron's formula can be used: () () where a, b, c are the sides of the triangle, and = (+ +) is half of its perimeter. [2] If an angle and its two included sides are given, the area is 1 2 a b sin ( C ) {\displaystyle {\tfrac {1}{2}}ab\sin(C)} where C is the given angle and a and b are its ...
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Image comparing the hectare (the small blue area at lower left) to other units. The entire yellow square is one square mile.. The hectare (/ ˈ h ɛ k t ɛər,-t ɑːr /; SI symbol: ha) is a non-SI metric unit of area equal to a square with 100-metre sides (1 hm 2), that is, 10,000 square metres (10,000 m 2), and is primarily used in the measurement of land.