Circle Standard Form

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

• (3,2)

• (-3, -2)

• (-2, -3)

• (2, 3)

Tags

CCSS.HSG.GPE.A.1

Write the standard equation of the circle with the given center and radius; center (0,0) and radius: 3

• x²+y²=3

• x²+y²=6

• x²+y²=9

Tags

CCSS.HSG.GPE.A.1

See Picture

• A

• B

• C

• D

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

Which graph corresponds to (x+2)²+ (y-3)²=36

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

• (1, 1)

• (0, 0)

• 1

Tags

CCSS.HSG.GPE.A.1

What is the center of the circle with equation x² + (y+6)² = 196?

• (1, 6)

• (1, -6)

• (0, 6)

• (0, -6)

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 of a circle with radius 4 and center (0, 8)?

• x² + (y-8)² = 16

• (x-8)² + y² = 4

• x² + (y-8)² = 4

• x² + (y+8)² = 16

Tags

CCSS.HSG.GPE.A.1