The equation $(x - 3)^2 + (y + 2)^2 = 25$ represents a circle in the xy-plane. What are its centre and radius?
ACentre $(-3, 2)$, radius $25$
BCentre $(3, -2)$, radius $5$
CCentre $(3, 2)$, radius $25$
DCentre $(-3, -2)$, radius $5$
Answer & Solution
Correct answer: B. Centre $(3, -2)$, radius $5$
Standard form $(x-h)^2 + (y-k)^2 = r^2$ gives centre $(h, k) = (3, -2)$ and radius $r = \sqrt{25} = 5$.
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