The mean radius of the earth is 3440 nautical miles, find the radius of the parallel of latitude of Manila (Lat. 14° 30' N approximately).
Given:
Latitude 14° 30' N
Earth's radius = 3440 nautical miles
What is asked:
Radius of the parallel at latitude 14° 30' N
Solution:
1. We are to solve first for the circumference of the parallel at latitude 14° 30' N before we can solve its radius.
Circumference = 2πr × Cos Lat
= 2 × 3.1416 × 3440 × Cos 14° 30'
= 20925.74 nm
2. Since we have now the value of the circumference of the earth at Latitude 14° 30' N, we can now
solve the radius of this parallel of latitude. Cross multiplying the formula of getting the
circumference we can solve for the radius.
Circumference = 2πr
Radius = Circumference
2π
Radius = 20925.74 nm
2 × 3.1416
= 20925.74 nm
6.2832
= 3330.42 nm
= 2 × 3.1416 × 3440 × Cos 14° 30'
= 20925.74 nm
2. Since we have now the value of the circumference of the earth at Latitude 14° 30' N, we can now
solve the radius of this parallel of latitude. Cross multiplying the formula of getting the
circumference we can solve for the radius.
Circumference = 2πr
Radius = Circumference
2π
Radius = 20925.74 nm
2 × 3.1416
= 20925.74 nm
6.2832
= 3330.42 nm
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