CPM Homework Help : CCA2 Problem 8-59

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8-59.

Find the center and radius of each circle below.

$(y - 7)^2 = 25 - (x - 3)^2$
Hint (a):
Add $(x - 3)^2$ to both sides of the equation.
Answer (a):
Center: $(3, 7)$ Radius: $5$

$x^2 + y^2 + 10y = -9$
Hint (b):
Complete the square.
$x^2 + (y^2 +10y + 25) = -9 + 25$
Answer (b):
Center: $(0, -5)$ Radius: $4$

$x^2 + y^2 + 18x - 8y + 47 = 0$
Hint (c):
See parts (a) and (b).

$y^2 + (x - 3)^2 = 1$
Hint (d):
See parts (a) and (b).

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