Determine If a Point Lies on 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

Write the equation of a circle with center (7, 0) with radius 3. 

• (x - 7)² + y² = 9
• x² + (y -7)² = 9
• (x - 7)² + y² = 3
• x² + (y -7)² = 3

Tags

CCSS.HSG.GPE.A.1

What are the coordinates of the center and the radius of the circle with an 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

The point (-5,6) is on a circle with center (-1,3) write the equation of the circle

• (x+1)² + (y-3)²= 4000

• (x+5)² + (y-0)²= 25

• (x+1)² + (y-3)²= 25

• (x-1)² + (y+3)²= 25

Tags

CCSS.HSG.GPE.A.1

Find the center if the endpoints of the diameter are at (-12, -7) and (3, 5).

• (-4.5, -1)
• (-7.5, -6)
• (4.5, 1)
• (7.5, 6)

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

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

Is the point (-3 , 5) inside, outside or on the circle with equation (x+2)² + (y-4)² = 9?

• Inside the Circle
• Outside the Circle
• On the Circle

Tags

CCSS.HSG.GPE.A.1

Is the point (3 , 5) inside, outside or on the circle with equation x² + y² = 9?

• Inside the Circle
• Outside the Circle
• On the Circle

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