Standard Form of a Circle and Center

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 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

What is the radius of the circle with this equation of (x - 5)² + (y + 7)² = 8?

• 4

• 8

• 4√2

• 2√2

Tags

CCSS.HSG.GPE.A.1

The equation of a circle is x² + y² + 6x - 12y + 20 = 0. Write the equation in standard form.

• (x - 3)² + (y + 6)² = 25

• (x + 3)² + (y - 6)² = 25

• (x - 3)² + (y + 6)² = 45

• (x + 3)² + (y - 6)² = 5

Tags

CCSS.HSG.GPE.A.1

A circle has the equation x² + y² + 8x - 20 = 0. Write the equation in standard form.

• (x + 4)² + y² = 6

• (x + 4)² + y² = 36

• (x - 4)² + y² = 6

• (x - 4)² + y² = 36

Tags

CCSS.HSG.GPE.A.1

A circle has the equation x² + y² - 6y - 5 = 0. Write the equation in standard form.

• x² + (y + 3)² = 7

• x² + (y - 3)² = 7

• x² + (y + 3)² = 14

• x² + (y - 3)² = 14

Tags

CCSS.HSG.GPE.A.1

Write the equation of the circle with center C( -5 , 8 ) and radius = 7

• ( x - 5 )² + ( y + 8 )² = 14

• ( x - 5 )² + ( y - 8 )² = 49

• ( x - 5 )² + ( y + 8 )² = 49

• ( x + 5 )² + ( y - 8 )² = 49

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

• 0

• 0.5

• 1

• 2

Tags

CCSS.HSG.GPE.A.1

What is the radius of the circle with this equation x² + y² - 10x + 8y - 23 = 0?

• 4

• 2

• 8

• 23

Tags

CCSS.HSG.GPE.A.1