Point on the Circle

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

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

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

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

Prove or disprove that the point (8,-3) lies on the circle centered at (-4,3) and has a radius of 13.

• (8,-3) lies on the circle

• (8,-3) lies outside the circle

• (8,-3) lies inside the circle

Tags

CCSS.HSG.GPE.A.1

A circle has a diameter with endpoints (2, 1) and (2, 3). Which of the following is also a point on the circle?

• (2, 2)

• (1, 3)

• (3, 2)

• (0, 0)

Tags

CCSS.HSG.GPE.A.1

A circle has a center at $\left(4,\ -1\right)$ and a radius of 6. Select all of the following that are points on the same circle.

Tags

CCSS.HSG.GPE.A.1

A circle has a center at (1, 1). The diameter is 6. Which of the following points is a point on the circle?

Tags

CCSS.HSG.GPE.A.1