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The range of values of r for which the ...

The range of values of r for which the point `(-5+r/sqrt(2),-3+r/sqrt(2))` is an interior point of the major segment of the circle `x^2+y^2=16` , cut-off by the line `x+y=2`, is:

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`x+y=2`
`-5+r/sqrt2-3+r/sqrt2-2<0`
`sqrt2r-10<0`
`r<5sqrt2`
`x^2+y^2-16<0`
`(r/sqrt2-5)^2+(r/sqrt2-3)^2-16<0`
`r^2/2+25-5sqrt2r+r^2/2+9-3sqrt2r-16<0`
`r^2-8sqrt2+18<0`
...
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