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The centre and radius of the circle repr...

The centre and radius of the circle represented by the equation `x=4+5cos theta` and `y=2+5 sin theta` are

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`x^2+y^2=(4+5costheta)^2+(2+5sintheta)^2`
`=16+25cos^2theta+40costheta+4+25sin^2theta+20sintheta`
`=20+25+40costheta+20sintheta`
`=45+40(x-4)/5+20(y-2)/5`
`x^2+y^2-8x-4y-5=0`
`x^2+y^2+2gx+2fy+c=0`
Center=(4,2)
Rarius=`sqrt(16+4+5)=sqrt25=5`
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