CPM Homework Help : A2C Problem 9-61

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9-61.

Find the center and radius of each circle below.

$\left(y − 7\right)^{2} = 25 − \left(x − 3\right)^{2}$
Answer (a):
Center: (3, 7)
Radius: 5

$x^{2} + y^{2} + 10y = −9$
Hint (b):
Complete the square.

$x^{2} + \left(y^{2} + 10y + 25\right) = −9 + 25$
Answer (b):
Center: $\left(0, −5\right)$
Radius: $4$

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

$y^{2} + \left(x − 3\right)^{2} = 1$
Hint (d):
See parts (a) and (b).

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