Equations of Circles Using Complete the Square

Determine the best answer: In order to convert from general form to standard form, you must ___________.

• Multiply out

• expand

• factor

• complete the square

See Picture

• A

• B

• C

• D

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CCSS.HSG.GPE.A.1

• A
• B
• C
• D

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CCSS.HSG.GPE.A.1

The image provided is the equation of a(n)...

• circle

• ellipse

• parabola

• hyperbola

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CCSS.HSG.GPE.A.1

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

• Center (4,3)
  Radius = 5 units

• Center (4,3)
  Radius = 25 units

• Center (-4,-3)
  Radius = 25 units

• Center (-4,-3)
  Radius = 5 units

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CCSS.HSG.GPE.A.1

See Picture

• A

• B

• C

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CCSS.HSG.GPE.A.1

In the equation
(x-3)²+(y-2)²=16, the center of the circle is...

• (3,2)

• (-3, -2)

• (-2, -3)

• (2, 3)

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CCSS.HSG.GPE.A.1

What is the equation of the circle?

• (x+1)² + (y +1)² = 3

• (x+1)² + (y -1)² = 3

• (x+1)² + (y +1)² = 9

• (x-1)² + (y -1)² = 9

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CCSS.HSG.GPE.A.1

What is the center of the circle with this equation is (x+2)²+(y-4)²=41?

• (2,-5)

• (-2,4)

• (2,-4)

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CCSS.HSG.GPE.A.1

What is the radius of the circle
(x+7)²+(y-2)²=144?

• 7

• 12

• 13

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CCSS.HSG.GPE.A.1