Posted - 08/30/2012 : 21:15:31 When projected onto a two-dimensional plane the surface of the Earth approximates a circle. If we position the city of Toowoomba at the origin (0, 0) then the equation of this circle is given by: x^2 + y^2 – 4x + 6y – 3468 = 0

A telecommunication satellite is on orbit 0.6 units above the Earth’s surface. Find the equation of the circle described by the satellite.

Hint: Rewrite the given equation to find the centre and the radius of the circle described by the Earth’s surface.

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royhaas

Posted - 08/31/2012 : 08:09:41 Use the hint and complete the square on x and y to re-write the equation of the circle in its standard form.