Equations of Circles Given Center and Point

What is the equation of a circle given the center is (-5,7) with a radius of 5?

• (x-5)² + (y+7)² = 25

• (x+5)² + (y-7)² = 25

• (x-5)² + (y-7)² = 25

• (x+5)² + (y+7)² = 25

Tags

CCSS.HSG.GPE.A.1

Which equation matches the circle on the graph?

• (x+2)²+(y+5)²=9

• (x+10)²+(y+5)²=9

• (x+5)²+(y+10)²=81

• (x+5)²+(y+10)²=9

Tags

CCSS.HSG.GPE.A.1

Which equation matches the circle on the graph?

• (x+2)²+y²=16

• (x+2)²+x²=16

• (x+4)²+y²=4

• (x+20)²+y²=12

Tags

CCSS.HSG.GPE.A.1

What does "h" stand for in (h,k)?

• h is the radius of the circle

• h is the distance of the circle

• h is the y in the coordinate point

• h is the x in the coordinate point

Tags

CCSS.HSG.GPE.A.1

What is the center and radius of a circle with an equation (x+5)² + (y-1)² = 64

• Center is (5,1) and radius is 8

• Center is (-5, 1) and radius is 8

• Center is (-1, 5) and radius is 8

• Center is (-5,-1) and radius is 8

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 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 equation for this circle?

• (x+1)²+(y+1)²=9

• x²+y²=9

• x²+y²=6

• x²+y²=3

Tags

CCSS.HSG.GPE.A.1

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

• (x - 2)² + (y + 5)² = 36

• (x - 5)² + (y + 2)² = 6

• (x + 5)² + (y - 2)² = 36

• (x + 2)² + (y - 5)² = 6

Tags

CCSS.HSG.GPE.A.1

In the circle represented by the equation (x-4)²+(y-3)²=25, the diameter is

• 10

• 3

• 5

• 25

Tags

CCSS.HSG.GPE.A.1