Equations of Circles Using Completing the Square

Using the general form of a circle given, determine the center and radius of that circle. Round to the nearest tenth if necessary.

• Center: (-10,-4)

  Radius: 8

• Center: (-4,-10)

  Radius: 64

• Center: (10,4)

  Radius: 8

• Center: (4,10)

  Radius: 64

Tags

CCSS.HSG.GPE.A.1

Find the equation of the circle from the graph below

• 
• 
• 
• 

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 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 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

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)

Tags

CCSS.HSG.GPE.A.1

What is the radius of the given circle:
 x²+y²-10x+8y-23=0?

• 4

• 2

• 8

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

Find the value of "c" that completes the square.

• -4

• 4

• 8

• 16