Converting Circles to General Form

Convert the standard form equation of a circle: (x-3)^2 + (y+4)^2 = 25 to general form.

• x^2 - 6x + 9 + y^2 + 8y + 16 = 25

• x^2 + 6x + 9 + y^2 - 8y + 16 = 25

• x^2 - 6x + 9 + y^2 + 8y - 16 = 25

• x^2 - 6x + 9 + y^2 - 8y + 16 = 25

Tags

CCSS.HSG.GPE.A.1

Convert the standard form equation of a circle: (x+2)^2 + (y-1)^2 = 16 to general form.

• x^2 + 4x + y^2 - 2y + 12 = 0

• (x+2)^2 + (y-1)^2 = -16

• (x-2)^2 + (y+1)^2 = 16

• x^2 + 4x + y^2 - 2y - 12 = 0

Tags

CCSS.HSG.GPE.A.1

Convert the standard form equation of a circle: x^2 + (y+3)^2 = 49 to general form.

• x^2 + y^2 + 6y + 9 = 50

• x^2 + y^2 + 6y + 7 = 49

• x^2 + y^2 + 6y + 9 = 49

• x^2 + y^2 + 6y + 9 = 48

Tags

CCSS.HSG.GPE.A.1

Convert the standard form equation of a circle: (x-4)^2 + (y+5)^2 = 64 to general form.

• x^2 - 8x + y^2 + 10y - 64 = 0

• x^2 - 8x + y^2 + 10y + 16 = 0

• x^2 - 8x + y^2 + 10y - 16 = 0

• x^2 + 8x + y^2 - 10y - 16 = 0

Tags

CCSS.HSG.GPE.A.1

Write the equation of the circle in general form.

• A

• B

• C

• D

Tags

CCSS.HSG.GPE.A.1

Tags

CCSS.HSG.GPE.A.1

Convert the standard form equation of a circle: x^2 + (y-1)^2 = 9 to general form.

• x^2 + y^2 - 2y + 1 = 0

• x^2 + y^2 - 2y + 1 = 0

• x^2 + y^2 - 2y = 9

• x^2 + y^2 - 2y + 1 = 9

Tags

CCSS.HSG.GPE.A.1

Convert the standard form equation of a circle: (x-5)^2 + y^2 = 36 to general form.

• x^2 - 5x + y^2 = 36

• x^2 - 10x + y^2 = 0

• x^2 - 5x + y^2 = 0

• x^2 - 10x + y^2 = 36

Tags

CCSS.HSG.GPE.A.1

Convert the standard form equation of a circle: (x+1)^2 + (y-2)^2 = 9 to general form.

• (x+1)^2 + (y-2)^2 = 0

• (x-1)^2 + (y+2)^2 = 9

• x^2 + 2x + y^2 - 4y = 9

• x^2 + 2x + y^2 - 4y = 6

Tags

CCSS.HSG.GPE.A.1

Convert the standard form equation of a circle: x^2 + y^2 = 25 to general form.

• x^2 + y^2 + 25 = 0

• x^2 + y^2 - 25 = 0

• x^2 + y^2 = 0

• x^2 - y^2 = 25

Tags

CCSS.HSG.GPE.A.1