Quito, a city in Ecuador and Kampala, a ...

Quito, a city in Ecuador and Kampala, a city situated in Uganda both lie on the Equator. The longitude of Quito is `82^(@)30'` W and that of Kampala is `37^(@)30'`E. What is the distance from Quito to Kampala.
(a) along the shortest surface path
(b) along a direct (through - the -Earth )path?(The radius of the Earth is `6.4xx10^(6)m`)

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The correct Answer is:

(a) `(2pi)/(3)xx6.4xx10^(6)m,(b) sqrt(3)xx6.4xx10^(6)m`

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