Graphing a Circle

Which equation represents a circle with a center located at (2, -3) and a diameter of 10?

Tags

CCSS.HSG.GPE.A.1

Which equation represents a circle with a center located at (-2, 2) and a diameter of 16?

Tags

CCSS.HSG.GPE.A.1

What is an equation for a circle that has a center at (-6, 5) and passes through the point (-11, 3).

Tags

CCSS.HSG.GPE.A.1

• C: (4,-5)

  r: 9

• C: (4,-5)

  r: 3

• C: (-5,4)

  r: 3

• C: (-5,4)

  r: 9

Tags

CCSS.HSG.GPE.A.1

What is an equation for a circle that has a center at (6, -3) and passes through the point (15, -5).

Tags

CCSS.HSG.GPE.A.1

Center is at (-3, 1) and radius is 3.

• (x + 3)² + (y - 1)² = 9

• (x - 3)² + (y + 1)² = 9

• (x - 3)² + (y + 1)² = 3

• (x + 3)² + (y - 1)² = 3

Tags

CCSS.HSG.GPE.A.1

What is the center and radius of this circle?
(x + 3)² + (y + 7)² = 4

• Center: (-3, -7)
   radius = 2

• Center: (3, 7)
   radius = 4

• Center: (-3, -7)
   radius = 4

• Center: (-3, 7)
   radius = 2

Tags

CCSS.HSG.GPE.A.1

A meteorite damaged a portion of a farm expressed by the equation (x - 6)² + (y - 7)² = 16. Which item on the farm was not damaged by the meteorite?

• The Silo located at
  (2, 4)

• The Barn located at
  (4, 6)

• The Pigpen located at
  (8,9)

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

Does the point (4,5) lie on the circle whose center is (-2,-2) and radius 9?

• yes

• No

Tags

CCSS.HSG.GPE.A.1