Calculate the distance between Lagos (4°N)and cario(30°N)

1 answer

To calculate the distance between Lagos (4°N) and Cairo (30°N) along the Earth's surface, you can use the formula for the great-circle distance, which is calculated along the surface of a sphere.

  1. Find the difference in latitude:

    • Latitude of Lagos: 4°N
    • Latitude of Cairo: 30°N
    • Difference in latitude = 30°N - 4°N = 26°
  2. Convert the latitude difference from degrees to radians: \[ \text{Difference in radians} = 26^\circ \times \left(\frac{\pi \text{ radians}}{180^\circ}\right) \approx 0.454 \text{ radians} \]

  3. Radius of the Earth: The average radius of the Earth is about 6,371 kilometers.

  4. Calculate the distance: \[ \text{Distance} = \text{Radius} \times \text{Difference in radians} \] \[ \text{Distance} \approx 6,371 , \text{km} \times 0.454 \text{ radians} \approx 2,892 , \text{km} \]

Therefore, the approximate distance between Lagos and Cairo along the surface of the Earth is about 2,892 kilometers.