How to calculate some general area on a sphere for simplicity the unit sphere. Let's say I have a ball and I draw a ring on it. What is its area? I guess I need some initial point (some coordinate). Let's take a spherical coordinates with r=1. Element of area is [itex] \sin(\theta) d \theta d \phi [/itex]. But how to define (describe) a ring? I guess I need some function [itex]\theta(\phi) [/itex] and than integrate over ...what, all or some separate region of [itex]\phi[/itex]? Or what would you suggest?(adsbygoogle = window.adsbygoogle || []).push({});

Thank you for your advice and help.

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# Area on the sphere

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