Center and Radius of Circle from General Form to 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 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

Convert the equation of the circle from general to standard form.

• A

• B

• C

• D

Tags

CCSS.HSG.GPE.A.1

• a

• b

• c

• d

Tags

CCSS.HSG.GPE.A.1

What is the center and radius for a circle with the equation:
(x-4)²+(y+2)²=25

• C:(4, -2), r=5

• C:(-4, 2), r=5

• C:(4, -2), r=25

• C:(-4, 2), r=25

Tags

CCSS.HSG.GPE.A.1

What is the center and radius?

• Center: (-3,4)

  Radius: 3

• Center: (3,4)

  Radius: 3

• Center: (4,-3)

  Radius: 9

• Center: (4,3)

  Radius: 9

Tags

CCSS.HSG.GPE.A.1

Identify the center and the radius.

• Center: (-7, 12)

  Radius: 6

• Center: (7, -12)

  Radius: 36

• Center: (9, 11)

  Radius: 6

• Center: (-7, -12)

  Radius: 6

Tags

CCSS.HSG.GPE.A.1

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

• C = (-7,2), r = 3

• C = (-7,1), r = 7

• C = (-4,1), r = 5

• C = (-14,2), r = 1

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 are the coordinates of the center and the radius of the circle with an 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