Assuming Earth to be a sphere of radius 4000 miles how many

Assuming Earth to be a sphere of radius 4000 miles, how many miles north of the Equator is City A, if it is 3737degrees° north from the Equator?

Solution

let A is x miles north of the equator

x = 2pi*r * (37/360 )

x = 2*3.14*4000*(37/360)

x = 2581.77

therefore, city A is 2581.77 miles north of the equator