1.

Find the equation of the the circle with centre at ( -3,-2 ) and r = 6​

Answer»

\large{\underline{\underline{\mathfrak{\green{\sf{QUESTION:-}}}}}}.

  • FIND the equation of the the circle with CENTRE at ( -3,-2 ) and r = 6...?

\large{\underline{\underline{\mathfrak{\red{\sf{SOLUTION:-}}}}}}.

\large{\underline{\underline{\mathfrak{\bf{Given\:Here:-}}}}}.

  • Centre of circle (-3,-2,)

\large{\underline{\underline{\mathfrak{\sf{Find\:Here:-}}}}}.

  • Equation of Circle

\large{\underline{\underline{\mathfrak{\sf{Explanation:-}}}}}.

we know that ,

Equation of circle with centre (h,k) and radius r

\large{\boxed{\boxed{\:(x-h)^2\:+\:(y-k)^2\:=\:r^2}}}

Where, h = -3, k = -2 and, r = 6 ,

\implies\:\left\{x-(-3)\right\}^2\:+\:\left\{y-(-2)\right\}^2\:=\:(6)^2

\implies\:(x+3)^2\:+\:(y+2)^2\:=\:36

\implies\:(x^2+y^2+6x+4y+13)\:=\:36

\large{\boxed{\boxed{\:(x^2+y^2+6x+4y-23)\:=\:0}}}

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