Circle Equations Converting from General to Standard Form

What is the coordinates of the centre and the radius of the circle with equation:
(x - 1)² + (y - 2)² = 3² ?

• 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 - 4)^2 + (y - 3)^2 = 25^ ?

• Centre  (4,3)
  Radius = 5 units

• Centre  (4,3)
  Radius = 25 units

• Centre  (-4,-3)
  Radius = 25 units

• Centre  (-4,-3)
  Radius = 5 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 coordinates of the centre and the radius of the circle with equation:
(x - 5)² + (y + 3)² = 36?

• Centre (5,-3)
  Radius = 6 units

• Centre (-5,3)
  Radius = 6 units

• Centre (-5,3)
  Radius = 36 units

• Centre (5,-3)
  Radius = 36 units

Tags

CCSS.HSG.GPE.A.1

What is the coordinates of the centre and the radius of the circle with equation:
(x + 7)^2 + (y - 6)^2 = 64 ?

• Centre (7,-6)
  Radius = 8 units

• Centre (-7,6)
  Radius = 64 units

• Centre (-7,6)
  Radius = 8 units

• Centre (7,-6)
  Radius = 64 units

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, with centre (-2,-7) and radius 3 units?

• (x + 2)^2 + (y + 7)^2 = 3

• (x - 2)^2 + (y - 7)^2 = 9

• (x + 2)^2 + (y + 7)^2 = 9

• (x - 2)^2 + (y - 7)^2 = 3

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle, with center (-6,-9) and radius 7 units?

• (x + 6)^2 + (y + 9)^2 = 49

• (x + 6)^2 + (y + 9)^2 = 7

• (x - 6)^2 + (y - 9)^2 = 49

• (x - 6)^2 + (y - 9)^2 = 7

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle, with centre (-4,5) and radius 6 units?

• (x - 4)^2 + (y + 5)^2 = 6

• (x - 4)^2 + (y + 5)^2 = 36

• (x + 4)^2 + (y - 5)^2 = 6

• (x + 4)^2 + (y - 5)^2 = 36

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle, with centre (7,-3) and radius 8 units?

• (x - 7)^2 + (y + 3)^2 = 8

• (x - 7)^2 + (y + 3)^2 = 64

• (x + 7)^2 + (y - 3)^2 = 8

• (x + 7)^2 + (y - 3)^2 = 64

Tags

CCSS.HSG.GPE.A.1