Write the standard form then identify the center and the radius
1.) x² + y² - 9 = 0
x² + y² = 9
x² + y² = r²
x² + y² = 3²
C(0, 0) ; r = 3
2.) x² + y² - 100 = 0
x² + y² = 100
x² + y² = r²
x² + y² = 10²
C(0, 0) ; r = 10
3.) x² + y² -2x - 63 = 0
x² - 2x + y² = 63
x² - 2x + 1² + y² = 63 + 1²
(x - 1)² + y² = 64
(x - h)² + (y - k)² = r²
(x - 1)² + y² = 8²
C(1 , 0) ; r = 8
4.) x² + y² + 10y - 144 = 0
x² + y² + 10y = 144
x² + y² + 10y + 5² = 144 + 5²
x² + (y + 5)² = 144 + 25
x² + (y + 5)² = 169
(x - h)² + (y - k)² = r²
x² + (y + 5)² = 169
x² + (y + 5)² = 13²
C(0 , -5) ; r = 13
5.) x² + y² + 8x - 48 = 0
x² + y² + 8x - 48 = 0
x² + 8x + 4² + y² = 48 + 4²
(x + 4) + y² = 48 + 16
(x + 4) + y² = 64
(x - h)² + (y - k)² = r²
(x + 4) + y² = 8²
C(-4 , 0) ; r = 8
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