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One full revolution encompasses 2π radians. ... 12 troy ounces equals one troy pound. The symbol g 0 is used to denote ... foot: ≡ 1 long ton × g 0 ...
One radian is defined as the angle at the center of a circle in a plane that subtends an arc whose length equals the radius of the circle. [6] More generally, the magnitude in radians of a subtended angle is equal to the ratio of the arc length to the radius of the circle; that is, =, where θ is the magnitude in radians of the subtended angle, s is arc length, and r is radius.
Dimensionless with an arc length of approx. ≈ 0.2909 / 1000 of the radius, i.e. 0.2909 mm / m Conversions 1 ′ in ..... is equal to ... degrees 1 / 60 ° = 0.01 6 ° arcseconds 60″ radians π / 10800 ≈ 0.000290888 rad milliradians 5 π / 54 ≈ 0.2909 mrad gradians
The quantity 206 265 ″ is approximately equal to the number of arcseconds in a circle (1 296 000 ″), divided by 2π, or, the number of arcseconds in 1 radian. The exact formula is = (″) and the above approximation follows when tan X is replaced by X.
For example, they imply that one kilometre is exactly 0.54 nautical miles. Using official modern definitions, one nautical mile is exactly 1.852 kilometres, [4] which implies that 1 kilometre is about 0.539 956 80 nautical miles. [5] This modern ratio differs from the one calculated from the original definitions by less than one part in 10,000.
A formula for computing the trigonometric identities for the one-third angle exists, but it requires finding the zeroes of the cubic equation 4x 3 − 3x + d = 0, where is the value of the cosine function at the one-third angle and d is the known value of the cosine function at the full angle.
For instance to move the line of sight 0.4 mrad, a 0.1 mrad scope must be adjusted 4 clicks, while comparably a 0.05 mrad and 0.025 mrad scope must be adjusted 8 and 16 clicks respectively. Others 1.5 / 10 mrad and 2 / 10 mrad can be found in some short range sights, mostly with capped turrets, but are not very widely used.
Quadrant 4 (angles from 270 to 360 degrees, or 3π/2 to 2π radians): Cosine and secant functions are positive in this quadrant. Other mnemonics include: All Stations To Central [6] All Silly Tom Cats [6] Add Sugar To Coffee [6] All Science Teachers (are) Crazy [7] A Smart Trig Class [8] All Schools Torture Children [5] Awful Stinky Trig Course [5]