Question

Find the center and radius of the circle
(x + 5)² + (y - 3)² = 36​

Answer 1

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The equation ofa circle with centre (h, k) and radius r is given as:

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

It is given that centre (h,k) = (-2, 3) and radius (r) = 4 .

Therefore, the equation of the circle is:

$(x + 2)^{2} + (y - 3)^{2} = {(4)}^{2}$

$x ^{2} + 4x + 4 \: + {y}^{2} - 6y + 9 = 16$

$x ^{2} + {y}^{2} + 4x - 6y - 3 = 0$

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Answer 2

Answer:

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