# unit of measure conversions equivalences

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### equivalences unit of angle

 degree minute second mill. exact mill. conventional degree cent. 1 60 3600 17.45329 17.77777 1.11111 0.01667 1 60 0.29089 0.29630 0.01852 0.00028 0.01667 1 0.00485 0.00494 0.00031 0.05730 3.43775 206.26482 1 1.01859 0.06366 0.05625 3.37500 202.50000 0.98175 1 0.06250 0.90000 54 3240 15.70796 16 1

#### value ofp

 p represent the relationship between the circumference and the diameter of a same circle. p = 3.1415926535897932384626434 1/p = 0.3183098861837906715377675 p2 = 9.8696044011 p3 = 31.0062766803 radice2 p = 1.77245385509 radice3 p = 1.4645918876

 The constant relationship between the area of a circle and the square of its beam, was already to acquaintance of Babylonian and Egyptian, but the value of such constant was uncertain. The Greek Archimedes (287-212 a.C.) it was the first one to expose a procedure in order to calculate the value of p, establishing that the area of the registered regular polygons in the circle of unitary area he stretches to the area of the same circle as they increase the sides of the polygon. The Swiss Eulero (1707-83) demonstrated that: 1 - 1/3 + 1/5 - 1/7 +.... = p/ 4. Later on English J. Wallis (1616-1703) enunciated the equality: 2/1 2/3 4/3 4/5 6/5 6/7... = p/ 2.

 radiant (r) degree cent. (gr) degree sexagesimal (° = ° ' ") 1 63.6619772 57.2957795 = 571744.81 0.0157080 1 0.9 = 0.54 0.0174533 1.1111111 1

#### definitions report to 1 radiant

 angle turn = 2 p line (artillery) (-) = p/3200 dez = 0.174533 thousandth = 10-3 gon (g) = 0.015708 conventional thousandth (°°) = p/3200 degree (°) = 0.17453 angle minute (') = 2.908882*10-4 marine line = p/16 angle second(") = 4.848137*10-6

#### definitions report to 1 steradian

 gon square = (p/200)2 grado square = (p/180)2 sphere = 4p

#### angular resolution

 bits counts arcmins mirads 7 128 168.75 49.087 8 256 84.375 24.544 9 512 42.188 12.272 10 1024 21.094 6.1359 11 2048 10.547 3.0680 12 4096 5.2734 1.5340 13 8192 2.6367 0.76699 14 16384 1.3184 0.38350 15 32768 0.65918 0.19175 16 65536 0.32959 0.095874 17 131072 0.16479 0.047937 18 262144 0.082397 0.023968 19 524288 0.041199 0.011984 20 1048576 0.020599 0.0059921