Question

Find the equation of a circle whose center is (-1, -4) and the radius is 8.

Answer 1

$\textbf{Given:}$

$\textsf{Centre is (-1,-4) and radius is 8}$

$\textbf{To find:}$

$\textsf{Equation of the circle}$

$\textbf{Solution:}$

$\textbf{Formula used:}$

$\textsf{Equation of circle having centre (h,k) and radius is}$

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

$\textsf{Equation of the required circle is}$

$\mathsf{(x-h)^2+(y-k)^2=r^2}$

$\implies\mathsf{(x+1)^2+(y+4)^2=8^2}$

$\implies\mathsf{x^2+1+2x+y^2+16+8y-64=0}$

$\implies\boxed{\mathsf{x^2+y^2+2x+8y-47=0}}$

$\textbf{Find more:}$

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