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A remote sensing satellite is revolving ...

A remote sensing satellite is revolving in an orbit of radius `x` above the equator of earth. Find the area on earth surface in which satellite can not send message.

Text Solution

Verified by Experts

The correct Answer is:
`(1-(sqrt(x^(2)-R^(2)))/x) 4piR^(2)`

Area of strip =`2Rsin thetaxx2piR`
`=4piR^(2)sin theta`
Area of strip`=4piR^(2)(sqrt(x^(2)-R^(2)))/x`
Area not covered `=4piR^(2)-4piR^(2)(sqrt(x^(2)-R^(2)))/x`
`=(1-(sqrt(x^(2)-R^(2)))/x) 4piR^(2)`
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