Circles in Standard Form

Determine the equation of the circle in standard form:
x² + y² + 4x + 6y - 36 = 0

• (x+2)² + (y+3)² = 49

• (x+2)² + (y+3)² = 13

• (x-2)² + (y-3)² = 49

• (x-2)² + (y-3)² = 13

Tags

CCSS.HSG.GPE.A.1

Determine the equation of the circle in standard form: x² + y² + 6x - 12y + 20 = 0

• (x-3)² + (y+6)² = 25

• (x+3)² + (y-6)² = 25

• (x-3)² + (y+6)² = 45

• (x+3)² + (y-6)² = 5

Tags

CCSS.HSG.GPE.A.1

Determine the center and radius:
x² + y² - 10x + 8y -8 = 0

• C = (5,-4) r = 7

• C = (-5,4) r = 7

• C = (-4,5) r = 49

• C = (5,-4) r = 49

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

Select the matching graph.

• 
• 
• 
• 

Tags

CCSS.HSG.GPE.A.1

The point (-5,6) is on a circle with center (-1,3) write the equation of the circle

• (x+1)² + (y-3)²= 4000

• (x+5)² + (y-0)²= 25

• (x+1)² + (y-3)²= 25

• (x-1)² + (y+3)²= 25

Tags

CCSS.HSG.GPE.A.1

Determine the center and radius: x² + y² + 14x - 2y = -1

• center= (-7,2) radius= 3

• center= (-7,1) radius= 7

• center= (-4,1) radius= 5

Tags

CCSS.HSG.GPE.A.1

What is the coordinates of the centre and the radius of the circle with equation:
(x + 7)² + (y - 6)² = 64?

• Centre (7,-6)
  Radius = 8 units

• Centre (-7,6)
  Radius = 64 units

• Centre (-7,6)
  Radius = 8 units

• Centre (7,-6)
  Radius = 64 units

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle, with centre (4,2) and radius 5 units?

• (x + 4)^2 + (y + 2)^2 = 25

• (x + 4)^2 + (y + 2)^2 = 5

• (x - 4)^2 + (y - 2)^2 = 5

• (x - 4)^2 + (y - 2)^2 = 25

Tags

CCSS.HSG.GPE.A.1