Circles Equations General Form

What is the equation of a circle in standard form with center at the origin?

• x + y =r²

• x - y = r²

• x² + y² = r²

• x² - y² = r²

Tags

CCSS.HSG.GPE.A.1

Which of the following equations of circle in standard form with center at (1, 2) and a radius of 3 units?

• x² + y² = 3

• x² + y² = 9

• (x - 1)² + (y - 2)² = 9

• (x + 1)² + (y + 2)² = 9

Tags

CCSS.HSG.GPE.A.1

Which of the following equations of circle in general form given the center at (5, -8) and radius of 11 units?

• x² + y² -10x + 16y + 32 = 0

• x² + y² -10x + 16y - 32 = 0

• (x - 5)² + (y + 8)² = 11

• (x - 5)² + (y + 8)² = 121

Tags

CCSS.HSG.GPE.A.1

What is the center and the radius of (x + 2)² + (y - 5)² = 49?

• (-2, 5); r = 49 units

• (-2, 5); r = 9 units

• (2, -5); r= 49 units

• (2, -5); r = 9 units

Tags

CCSS.HSG.GPE.A.1

Write the equation of the circle graphed above.

• (x-2)²+(y+2)²=9

• (x+2)²+(y-2)²=9

• (x-2)²+(y+2)²=3

• (x+2)²+(y-2)²=3

Tags

CCSS.HSG.GPE.A.1

Select all equations that have a radius of 3.

• (x-3)²+(y-3)²=3

• (x+6)²+(y-2)²=9

• (x+5)²+y²=6

• (x-7)²+(y-1)²=9

• (x-2)²+(y-3)²=6

Tags

CCSS.HSG.GPE.A.1

Identify the center and radius of the circle with an equation of (x-4)²+(y-1)²=49

• Center: (-4,-1) and radius: 24.5

• Center: (4,1) and radius: 24.5

• Center: (-4,-1) and radius: 7

• Center: (4,1) and radius: 7

Tags

CCSS.HSG.GPE.A.1

Which of the following equations of circles in standard form with center at (-3, 4) and a radius of 5 units?

• x² - y² = 25

• x² + y² = 25

• (x - 3)² + (y + 4)² = 25

• (x + 3)² + (y - 4)² = 25

Tags

CCSS.HSG.GPE.A.1

Select the equation of a circle that has a diameter of 12.

• (x-6)²+(y+6)²=12

• (x-12)²+(y-2)²=6

• (x+1)²+(y-12)²=144

• (x-4)²+(y-1)²=36

Tags

CCSS.HSG.GPE.A.1

Write the equation of a circle with a center at (0,2) and a diameter of 8.

• x²+(y-2)²=8

• x²+(y-2)²=64

• x²+(y-2)²=4

• x²+(y-2)²=16

Tags

CCSS.HSG.GPE.A.1