nautical miles are euqal to the length of arc subtended by a central angle of 1 minute on the great circle. What is one nautical mile on the surface of the Earth if the raidus of the Earth is 3960 statute (ordinary) miles?
2006-10-22 18:31:47 · 5 answers · asked by Stuck 1 in Science & Mathematics ➔ Mathematics
C = 2πR
L = C/(360*60)
L = 2π3960/(360*60)
1 nautical mile = 1.1519173 statute mile
Standard definition:
1 nautical mile = 6 076.11549 feet/(5280 ft/statute mile)
1 nautical mile = 1.15077945 statute mile, so
R = 3956.088 statute miles
2006-10-22 19:10:23 · answer #1 · answered by Helmut 7 · 0⤊ 0⤋
1' of arc = (1/60)° = 1/60 * Ï/180 radians = Ï/10800 radians
arc = rÓ©
= 3960 * Ï/10800
â 1.151917 statute miles
(â 2027 yds)
2006-10-23 02:12:16 · answer #2 · answered by Wal C 6 · 0⤊ 0⤋
0.86897624 nautical mile=1 statute mile
1 statute mile=1.151 nautical mile
2006-10-23 01:39:53 · answer #3 · answered by raj 7 · 0⤊ 0⤋
3960 X 3.142857143 X 3.142857143 X 1.06 = 41462.00817
2006-10-23 01:46:59 · answer #4 · answered by Anonymous · 0⤊ 0⤋
then take 2*pi*Re/(360*60)
2006-10-23 01:36:01 · answer #5 · answered by arbiter007 6 · 0⤊ 0⤋