Graphing the Equation of a 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

In the equation (x-3)²+(y+4)²=121, the diameter of the circle is

• 242

• 11

• 121

• 22

Tags

CCSS.HSG.GPE.A.1

What is the equation of a circle whose diameter is 24 and whose center is at the origin?

• x²+y²=125

• x²+y²=64

• x²+y²=144

• x²+y²=576

Tags

CCSS.HSG.GPE.A.1

What is the equation for the circle, if it has diameter endpoints at (3,-4) and (-5,-4)?

• (x+1)² + (y-4)² = 4

• (x+1)² + (y+4)² = 16

• (x-1)² + (y-4)² = 16

• (x+1)² + (y+4)² = 4

Tags

CCSS.HSG.GPE.A.1

Write the equation of a circle with center (h,k) and radius r.

• x^2 + y^2  = r^2

• (x + h)^2 +  (y + h)^2 = r^2

• (x - h)^2 + (y - k)^2 = r^2

• (x - h)^2 - (h - k)^2 = r

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

Circle O has a center at (3,1) and a diameter of 10 units. Which point lies on circle O?

• (3,-4)

• (-3,-1)

• (5,1)

• (8,0)

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

Determine which point lies on the circle with equation x²+y²=49

• (√11,3)

• (0,-7)

• (-4, √13)

• (8,0)

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