Question

Write the equation of the circle with center (2, -3) and a radius of 4.

es ))
A)
B)
9)
D)
(x + 2)² + (y - 3)² = 4
(x - 2)² + (y + 3)² = 4
(x + 2)² + (y - 3)² = 16
(x - 2)² + (y + 3)² = 16

Answer 1

`\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{2}{h}~~,~~\underset{-3}{k})}\qquad \stackrel{radius}{\underset{4}{r}} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ x - 2 ~~ )^2 ~~ + ~~ ( ~~ y-(-3) ~~ )^2~~ = ~~4^2\implies {\large \begin{array}{llll} (x-2)^2+(y+3)^2=16 \end{array}}`