Practice Equation of a Circle

Which circle has a center at (-3,-6) and passes through the point (-4,8)?

• (x-3)²+(y-6)²=197

• (x+3)²+(y+6)²=197

• (x-3)²+(y-6)²=32

• (x+3)²+(y+6)²=32

What is the equation of this circle?

• (x - 2)² + (y - 1)² = 4

• (x + 2)²+(y + 1)²=16

• (x + 2)² + (y - 1)² = 4

• (x + 2)²+(y - 1)²=16

What is the radius of the circle

(x+7)²+(y-2)²=144?

• 7

• 12

• 13

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• (x+4)²+(y+3)²=25

• (x+8)²+(y+6)²=25

• (x-8)²+(y-6)²=25

• (x+8)²+(y+6)²=5

• (x+4)²+(y+3)²=5

• (x-5)²+(y+4)²=122

• (x+5)²+(y-4)²=85

• (x-5)²+(y+4)²=85

• (x+5)²+(y-4)²=170

• (x-5)²+(y+4)²=170

• (x+10)²+(y-8)²=41

• (x-10)²+(y+8)²=41

• (x-4)²+(y+5)²=41

• (x+4)²+(y-5)²=164

• (x+10)²+(y-8)²=164

• (x-2)²+y²=234

• (x+2)²+y²=234

• (x-2)²+(y+3)²=225

• (x+2)²+(y-3)²=225

• (x-15)²+(y+3)²=4

The equation x²+y²-2x+6y+3=0 is equivalent to

• (x-1)²+(y+3)²=7

• (x-1)²+(y+3)²=-3

• (x+1)²+(y+3)²=7

• (x+1)²+(y+3)²=10