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

Answer

`(1-(sqrt(x^(2)-R^(2)))/(x))4pi R^(2)`

Explanation

Area of strip `=2R sin theta xx 2pi R`
`=4pi R^(2)sin theta`.
Area of strip `=4 pi R^(2) (sqrt(x^(2)-R^(2)))/(x)`
Area not covered `= 4pi R^(2)-4pi R (sqrt(x^(2)-R^(2)))/(x)`
`= (1-(sqrt(x^(2)-R^(2)))/(x))4pi R^(2)`