Equations of a Circle

Which is the correct equation of a circle whose centered at (-1, -5) and has a radius of 5?

• (x + 1)² + (y - 5)² = 25

• (x - 1)² + (y - 5)² = 25

• (x - 1)² + (y + 5)² = 25

• (x + 1)² + (y + 5)² = 25

Tags

CCSS.HSG.GPE.A.1

Which graph has the equation

(x - 4)² + (y + 1)² = 9

• 
• 
• 
• 

Tags

CCSS.HSG.GPE.A.1

Given the following equation (x+12)² + (y+3)² = 9, what is the diameter?

• 3

• 6

• 9

• 12

Tags

CCSS.HSG.GPE.A.1

What is the center and radius of a circle with an equation (x+5)² + (y-1)² = 64

• Center is (5,1) and radius is 8

• Center is (-5, 1) and radius is 8

• Center is (-1, 5) and radius is 8

• Center is (-5,-1) and radius is 8

Tags

CCSS.HSG.GPE.A.1

What is the center and radius of a circle with an equation (x+2)² + (y+4)² = 1

• Center is (2,4) and radius is 1

• Center is (2,-4) and radius is 1

• Center is (-2, 4) and radius is 1

• Center is (-2, -4) and radius is 1

Tags

CCSS.HSG.GPE.A.1

What is the equation of a circle, given the center is (-2, 3) and the radius is 4?

• (x+2)² + (y-3)² = 2

• (x-2)² + (y+3)² = 16

• (x+2)² + (y-3)² = 16

• (x-2)² + (y-3)² = 2

Tags

CCSS.HSG.GPE.A.1

Write the equation of a circle with center (7, 0) with radius 3.

• (x - 7)² + y² = 9

• x² + (y -7)² = 9

• (x - 7)² + y² = 3

• x² + (y -7)² = 3

Tags

CCSS.HSG.GPE.A.1

Which is the correct equation of the given circle?

• (x + 1)² + (y - 3)² = 9

• (x - 1)² + (y + 3)² = 9

• (x + 1)² + (y + 3)² = 9

• (x - 1)² + (y - 3)² = 9

Tags

CCSS.HSG.GPE.A.1

Which graph has the equation

(x + 3)² + y² = 4

• 
• 
• 
• 

Tags

CCSS.HSG.GPE.A.1

What does (h,k) standard for in the standard circle equation?

• (h,k) is the center of the circle

• (h,k) is a point on the circle.

• (h,k) is the radius of the circle

• (h,k) is the diameter of the circle

Tags

CCSS.HSG.GPE.A.1