Coordinates That Satisfy the Equation of a Circle

What is the equation for this circle?

• (x+1)+(y+1)=9

• x²+y²=9

• x+y=9

Tags

CCSS.HSG.GPE.A.1

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

• Center (4,3)
  Radius = 5 units

• Center (4,3)
  Radius = 25 units

• Center (-4,-3)
  Radius = 25 units

• Center (-4,-3)
  Radius = 5 units

Tags

CCSS.HSG.GPE.A.1

What is the center and radius for a circle with the equation:
(x-4)²+(y+2)²=25

• C:(4, -2), r=5

• C:(-4, 2), r=5

• C:(4, -2), r=25

• C:(-4, 2), r=25

Tags

CCSS.HSG.GPE.A.1

Which graph corresponds to 
(x)²+ (y-6)²=9

• A

• B

• C

• D

Tags

CCSS.HSG.GPE.A.1

What is the equation for this circle?

• (x+1)+(y+1)=9

• x²+y²=9

• x+y=9

Answer explanation

The correct equation for a circle is x²+y²=r², where r is the radius. In this case, the equation x²+y²=9 represents the circle with a radius of 3.

Tags

CCSS.HSG.GPE.A.1

Determine the equation of a circle with center (5,-3) and radius of 9

• x²+y²-10x+6y-47=4

• x²+y²-10x-6y-47=0

• 2x²+y²+10x+6y-47=0

• x²+y²-10x+6y-47=0

Answer explanation

The equation of a circle with center (5,-3) and radius of 9 is x^2 + y^2 - 10x + 6y - 47 = 0.

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

Tags

CCSS.HSG.GPE.A.1

Write 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

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

• 4

• 2

• 3

• 16

Tags

CCSS.HSG.GPE.A.1