Circles on the Coordinate Plane

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

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

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

• (√11,3)

• (0,-7)

• (-4, √13)

• (8,0)

Tags

CCSS.HSG.GPE.A.1

• A
• B
• C
• D

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

• A
• B
• C
• D

Tags

CCSS.HSG.GPE.A.1

• A
• B
• C
• D

Tags

CCSS.HSG.GPE.A.1

What is the equation of a circle with radius 2 and center (3, 4)?

• (x + 3)² + (y + 4)² = 2

• (x - 3)² + (y - 4)² = 2

• (x + 3)² + (y + 4)² = 4

• (x - 3)² + (y - 4)² = 4

Tags

CCSS.HSG.GPE.A.1

What is the radius of the circle given by the equation (x - 7)² + (y + 3)² = 25?

• 3

• 5

• 10

• 25

Tags

CCSS.HSG.GPE.A.1

What is the center of a circle with equation (x - 4)² + (y + 5)² = 49?

• (4, -5)

• (5, -4)

• (-4, 5)

• (-5, 4)

Tags

CCSS.HSG.GPE.A.1