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A circle of radius `2` lies in the first quadrant and touches both the axes. Find the equation of the circle with centre at `(6,5)` and touching the a

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A circle of radius `2` lies in the first quadrant and touches both the axes. Find the equation of the circle with centre at `(6,5)` and touching the above circle externally.
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`C_1(2,2),r_1=2`
`C_2(6,5),r_2=?`
`C_1C_2=r_1+r_2`
`sqrt((6-2)^2+(5-2)^2)=2+r_2`
`sqrt(16+9)=sqrt25=2+r_2`
`r_2=5`
`(x-6)^2(y-5)^2=25`.
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