Completing the Square in Circle Equations

Write the equation of a circle with center (7, 0) with radius 3. 

• (x - 7)² + y² = 9
• x² + (y -7)² = 9
• (x - 7)² + y² = 3
• x² + (y -7)² = 3

Tags

CCSS.HSG.GPE.A.1

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

• 4
• 2
• 3
• 16

Tags

CCSS.HSG.GPE.A.1

In the equation (x+2)²+(y+3)²=49, the center of the circle is at....

• (2, 3)
• (3, 2)
• (-3, -2)
• (-2, -3)

Tags

CCSS.HSG.GPE.A.1

What is the equation for this circle?

• (x+1)+(y+1)=9
• x²+y²=9
• x+y=9

Tags

CCSS.HSG.GPE.A.1

• A
• B
• C
• D

Tags

CCSS.HSG.GPE.A.1

Change the following equation to standard form
x²+y²-4x+12y-8=0

• (x-2)²+(y-6)²=48
• (x-2)²+(y+6)²=48
• (x-6)²+(y-2)²=48
• (x+2)²+(y-6)²=48

Tags

CCSS.HSG.GPE.A.1

What is the center for the circle with this equation x²+y²+4x+6y-36=0?

• (-2,5)
• (2,7)
• (2,3)
• (3,2)

Tags

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

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle, with centre (-2,-7) and radius 3 units?

• (x + 2)² + (y + 7)² = 3
• (x - 2)² + (y - 7)² = 9
• (x + 2)² + (y + 7)² = 9
• (x - 2)² + (y - 7)² = 3

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle, with center (-4,5) and radius 6 units?

• (x - 4)² + (y + 5)² = 6
• (x - 4)² + (y + 5)² = 36
• (x + 4)² + (y - 5)² = 6
• (x + 4)² + (y - 5)² = 36

Tags

CCSS.HSG.GPE.A.1