Intro to circle equation

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

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

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

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

Prove or disprove that the point (3,4) lies on the circle centered at the origin and has a radius of 5.

• (3,4) lies on the circle

• (3,4) lies outside the circle

• (3,4) lies inside the circle

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

The equation (x+3)²+(y-5)²=r² represents circle A. The point B(0,6) lies on the circle. What is r, the length of the radius of circle A?

• √13

• 2

• 10

• √10

Tags

CCSS.HSG.GPE.A.1

Write an equation of a circle in standard form if the center is located at (0, -2) and the radius is √3 (square root of 3).

• x² + (y - 2)² = 3

• x² + (y - 2)² = 9

• x² + (y + 2)² = 3

• (x - 1)² + (y - 2)² = 9

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle, with center (-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?

• (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