Center and Radius of Circle from General Form to Standard Form

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 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

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

• (x + 5)² + (y - 2)² = 144

• (x - 5)² + (y + 2)² = 36

• (x + 5)² + (y - 2)² = 36

• (x - 5)² + (y + 2)² = 12

Tags

CCSS.HSG.GPE.A.1

The point (3,3) is on a circle whose center is at (-1,3). Write the standard form of the equation of the circle.

• (x-3)²+(y-3)²=4

• (x-3)²+(y-3)²=16

• (x+1)²+(y-3)²=9

• (x+1)²+(y-3)²=16

Tags

CCSS.HSG.GPE.A.1

Convert the to standard form. x² + y² + 6x - 10y - 15 = 0

• (x + 6)² + (y - 10)² = 225

• (x + 3)² + (y - 5)² = 361

• (x + 3)² + (y - 5)² = 7

• (x + 3)² + (y - 5)² = 49

Tags

CCSS.HSG.GPE.A.1

What is the center for the circle with this equation x²+y²+4x+6y-36=0?

• (4,6))

• (2,3)

• (-2,-3)

• (-4, -6)

Tags

CCSS.HSG.GPE.A.1

What is the center of the circle with equation x² + y² = 1?

• (1, 1)

• (0, 0)

• (0,1)

• not enough information

Tags

CCSS.HSG.GPE.A.1

• (x + 3)² + (y - 1)² = 9
• (x - 3)² + (y + 1)² = 9
• (x - 3)² + (y + 1)² = 3
• (x + 3)² + (y - 1)² = 3

Tags

CCSS.HSG.GPE.A.1

• (x - 1)² + (y + 2)² = 2

• (x + 2)² + y² = 4

• x² + (y + 2)² = 4

• x² + (y + 2)² = 2

Tags

CCSS.HSG.GPE.A.1

What is the standard equation of a circle?

• (x-k)² + (y-h)² = r²

• (x+h)² + (y+k)² = r²

• (x-h)² + (y-k)² = r²

• (k-x)² + (h-y)² = r²

Tags

CCSS.HSG.GPE.A.1