Circles Standard and General Form

What is the equation of a circle in standard form with center at (2, -3) and radius 4 units?

• (x + 2)² + (y + 3)² = 16

• (x - 2)² + (y - 3)² = 16

• (x + 2)² + (y - 3)² = 16

• (x - 2)² + (y + 3)² = 16

Tags

CCSS.HSG.GPE.A.1

Identify the center and radius of the circle with the equation (x + 1)² + (y - 6)² = 36

• Center: (-1, 6) and radius: 6

• Center: (-1, 6) and radius: 36

• Center: (1, -6) and radius: 6

• Center: (1, -6) and radius: 36

Tags

CCSS.HSG.GPE.A.1

Which of the following represents the equation of a circle with center at (0, -4) and a radius of 7 units?

• (x + 4)² + y² = 49

• (x - 4)² + y² = 49

• x² + (y - 4)² = 49

• x² + (y + 4)² = 49

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

Which of the following equations of circle in general form given the center at (0, 0) and radius of 3 units?

• x² - y² = 9

• x² + y² = 9

• x² + y² - 9 = 0

• x² + y² + 9 = 0

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

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

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

What the equation for the circle shown, with a center at (-2, -4)

Mathematical Equivalence

ON

Tags

CCSS.HSG.GPE.A.1