Calculate the distance between Lagos (4) and cario (30)
To calculate the distance between Lagos and Cairo, you will need to use a map or a GPS system as well as the latitude and longitude coordinates of each city.
Lagos has a latitude of 6.5244° N and a longitude of 3.3792° E, while Cairo has a latitude of 30.0444° N and a longitude of 31.2357° E.
Using these coordinates, you can calculate the distance between the two cities using the Haversine formula. The Haversine formula is used to calculate the great-circle distance, which is the shortest distance between two points on the surface of a sphere (or the Earth, in this case).
Here is the Haversine formula:
a = sin²(Δlat/2) + cos(lat1) * cos(lat2) * sin²(Δlon/2)
c = 2 * atan2(√a, √(1-a))
distance = R * c
where:
- Δlat = lat2 - lat1 (difference in latitude)
- Δlon = lon2 - lon1 (difference in longitude)
- R is the radius of the Earth (mean radius = 6,371 km)
Using the given coordinates for Lagos and Cairo, you can plug in the values into the formula and calculate the distance.
Let's calculate it step by step:
Step 1: Convert the latitude and longitude values from degrees to radians:
lat1 = 6.5244° * (π/180) = 0.113815
lon1 = 3.3792° * (π/180) = 0.058963
lat2 = 30.0444° * (π/180) = 0.523110
lon2 = 31.2357° * (π/180) = 0.545256
Step 2: Calculate the differences in latitude and longitude:
Δlat = lat2 - lat1 = 0.523110 - 0.113815 = 0.409295
Δlon = lon2 - lon1 = 0.545256 - 0.058963 = 0.486293
Step 3: Apply the Haversine formula:
a = sin²(Δlat/2) + cos(lat1) * cos(lat2) * sin²(Δlon/2)
= sin²(0.409295/2) + cos(0.113815) * cos(0.523110) * sin²(0.486293/2)
= 0.133501
c = 2 * atan2(√a, √(1-a))
= 2 * atan2(√0.133501, √(1-0.133501))
= 0.255108
distance = R * c
= 6,371 km * 0.255108
= 1,625 km
So, the distance between Lagos and Cairo is approximately 1,625 kilometers.