The latitude of a city is given. Sketch the earth and a circle of latitude through the city find the radius of this circle. Columbus, Ohio; 40°N
Rio de Janeiro; 23°S

i) attached below

ii)  4885.54 km , 5867.76 km

Explanation:

Given data

Columbus, Ohio; 40°N

Rio de Janeiro; 23°S

i) sketch of earth and a circle of latitude

attached below

ii) find radius of circle

Radius considering Columbus Ohio 40°N

= cos 40°  * radius of earth

= cos 40° *  6378 km = 4885.54 km

Radius considering Rio de Janeiro; 23°S

= cos 23° * 6378 km = 5867.76 km