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Radius of the circle $(x + 5)^{2} + (y - 3)^{2} = 36$ is

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answer is C.

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Detailed Solution

Comparing the equation of the circle

$(x + 5)^{2} + (y - 3)^{2} = 36$

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

$∴ - h = 5 or h = - 5, k = 3, r^{2} = 36 \Rightarrow r = 6$

$∴$ Centre of the circle is $(- 5, 3)$ and radius $= 6$

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