Given-a-sphere-of-unit-radius-Find-the-expression-of-a-circular-spot-on-the-sphere-s-surface-given-the-latitude-and-the-longitude-of-its-center-and-its-angular-radius-r-

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Question Number 20511 by dioph last updated on 27/Aug/17

$$\mathrm{Given}\mathrm{a}\mathrm{sphere}\mathrm{of}\mathrm{unit}\mathrm{radius}.$$$$\mathrm{Find}\mathrm{the}\mathrm{expression}\mathrm{of}\mathrm{a}\mathrm{circular}$$$$\mathrm{spot}\mathrm{on}\mathrm{the}{\mathrm{sphere}}^{\prime }\mathrm{s}\mathrm{surface}\mathrm{given}$$$$\mathrm{the}\mathrm{latitude}\beta \mathrm{and}\mathrm{the}\mathrm{longitude}\lambda$$$$\mathrm{of}\mathrm{its}\mathrm{center}\mathrm{and}\mathrm{its}\mathrm{angular}\mathrm{radius}r.$$

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