Circles

What is the coordinates of the centre and the radius of the circle with equation:
(x - a)² + (y - b)² = r² ?

• Centre (a,b)
  Radius = r^2 units
• Centre (-a,-b)
  Radius = r units
• Centre (a,b)
  Radius = r units
• Centre (-a,-b)
  Radius = r^2 units

Tags

CCSS.HSG.GPE.A.1

What is the coordinates of the centre and the radius of the circle with equation:
(x - 1)^2 + (y - 2)^2 = 3^2 ?

• Centre (-1,-2)
  Radius = 3 units
• Centre (1,2)
  Radius = 3 units
• Centre (-1,-2)
  Radius = 9 units
• Centre (1,2)
  Radius = 9 units

Tags

CCSS.HSG.GPE.A.1

What is the coordinates of the centre and the radius of the circle with equation:
(x + 3)^2 + (y + 1)^2 = 2^2 ?

• Centre  (-3,-1)
  Radius = 4 units
• Centre  (3,1)
  Radius = 2 units
• Centre  (-3,-1)
  Radius = 2 units
• Centre  (3,1)
  Radius = 4 units

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle, with centre (4,2) and radius 5 units?

• (x + 4)^2 + (y + 2)^2 = 25
• (x + 4)^2 + (y + 2)^2 = 5
• (x - 4)^2 + (y - 2)^2 = 5
• (x - 4)^2 + (y - 2)^2 = 25

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle, with centre (3,8) and radius 4 units?

• (x - 3)^2 + (y - 8)^2 = 4
• (x - 3)^2 + (y - 8)^2 = 16
• (x + 3)^2 + (y + 8)^2 = 16
• (x + 3)^2 + (y + 8)^2 = 4

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

Change the following equation to standard form
x²+y²-4x+12y-8=0

• (x+2)²+(y-6)²=48
• (x-2)²+(y+6)²=48
• (x-6)²+(y-2)²=48
• (x+2)²+(y-6)²=48

Tags

CCSS.HSG.GPE.A.1

What is the radius of the given circle:
 x²+y²-10x+8y-23=0?

• 4
• 2
• 8

Tags

CCSS.HSG.GPE.A.1

Determine the center and radius: x² + y² + 14x - 2y = -1

• center= (-7,2) radius= 3
• center= (-7,1) radius= 7
• center= (-4,1) radius= 5

Tags

CCSS.HSG.GPE.A.1

Determine the equation of a circle with center (5,-3) and radius of 9

• x²+y²-10x+6y-47=4
• x²+y²-10x-6y-47=0
• 2x²+y²+10x+6y-47=0
• x²+y²-10x+6y-47=0

Tags

CCSS.HSG.GPE.A.1