Equations of a Circle

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

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

• Center (4,3)
  Radius = 5 units
• Center (4,3)
  Radius = 25 units
• Center (-4,-3)
  Radius = 25 units
• Center (-4,-3)
  Radius = 5 units

Tags

CCSS.HSG.GPE.A.1

Write the standard equation of the circle with the given center and radius; center (0,0) and radius: 3

• x² + y² = 4

• x² + y² = 81

• x² + y² = 9

• x² + y² = 3

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle?

• (x+1)² + (y +1)² = 3
• (x+1)² + (y -1)² = 3
• (x+1)² + (y +1)² = 9
• (x-1)² + (y -1)² = 9

Tags

CCSS.HSG.GPE.A.1

Which graph corresponds to

(x - 8)²+ (y + 2)² = 4

• A

• B

• C

• D

Tags

CCSS.HSG.GPE.A.1

Write the equation of the circle with center C( -5 , 8 ) and radius = 7

• ( x - 5 )² + ( y + 8 )² = 14

• ( x - 5 )² + ( y - 8 )² = 49

• ( x - 5 )² + ( y + 8 )² = 49

• ( x + 5 )² + ( y - 8 )² = 49

Tags

CCSS.HSG.GPE.A.1

What is the equation of a circle with radius 4 and center (0, 8)?

• x² + (y - 8)² = 16

• (x - 8)² + y² = 4

• x² + (y - 8)² = 4

• x² + (y + 8)² = 16

Tags

CCSS.HSG.GPE.A.1

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

• (x - 2)² + (y + 5)² = 36

• (x - 5)² + (y + 2)² = 6

• (x + 5)² + (y - 2)² = 36

• (x + 2)² + (y - 5)² = 144

Tags

CCSS.HSG.GPE.A.1

What does "h" stand for in (h,k)?

• h is the radius of the circle

• h is the distance of the circle

• h is the y coordinate of the center

• h is the x coordinate of the center

Tags

CCSS.HSG.GPE.A.1

What does the "k" in (h,k) stand for?

• k is the y coordinate of the center

• k is the x coordinate of the center

• k is the radius of the circle

• k is the distance of the circle

Tags

CCSS.HSG.GPE.A.1