Question

2. Convert 73°25'30" into centesimal system.​

Answer 1

Answer:

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Answer 2

The conversion value of 73°25'30" into centesimal system is 81^g58'33.33"

Given:

The Degree Minute Seconds value : 73°25'30"

To Find:

The centesimal value of 73°25'30"

Solution:

In Sexagesimal or English System,

1° = 60' = 3600"

Therefore, 73°25'30" can be written as

73°25'30" = (73° x 3600")+(25'x60')+30"

                = 262800" + 1500" + 30"

                = 264330"

Since 1" = 1/3600°

Then,

             = 264330"/3600°

             = 73.425°

WKT, π = 180° = 200^g

Therefore, 1° = (200/180)^g

For 73.425° = 73.425°(200/180)^g

                   = 81.58333333^g

In centesimal system,

1^g = 100' = 10000"

81.58333333^g = 81^g (0.58333333 x 100)'

                          = 81^g(58.333333')

                          = 81^g58'(0.3333x100)  [∵1' = 100"]

                          = 81^g58'33.33"

Therefore the centesimal value of 73°25'30" is 81^g58'33.33"

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