Circle Form of the Equation

The equation of the circle is derived from which theorem?

• Line Intersection Theorem

• Pythagorean Theorem

• Remote Interior Theorem

• None of the above

Tags

CCSS.HSG.GPE.A.1

Which is the standard form of the equation of the circle when its center is not on the origin?

Tags

CCSS.HSG.GPE.A.1

Given this equation, what is the center of the circle?

• (-2,-1)

• (2,-1)
  

• (-2,1)

• (2,1)

Tags

CCSS.HSG.GPE.A.1

• 15

• 14

• 13

• 12

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle shown in the graph?

Mathematical Equivalence

ON

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

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 - 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