equations of a circle

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 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

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

What is the equation for the circle graphed?

• $\left(x+5\right)^2+\left(y+6\right)^2=2$

• $\left(x-5\right)^2+\left(y+6\right)^2=4$

• $\left(x+5\right)^2+\left(y-6\right)^2=2$

• $\left(x-5\right)^2+\left(y-6\right)^2=4$

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

Change the following equation to standard form

x² + y² - 4x + 12y - 8 = 0

• (x + 2)² + (y - 6)² = 48

• (x - 2)² + (y + 6)² = 48

• (x - 6)² + (y - 2)² = 48

• (x + 2)² + (y - 6)² = 48

Tags

CCSS.HSG.GPE.A.1

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

• (-2, 5)

• (2, 7)

• (-2, -7)

• (-2, -3)

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

Which is the correct equation of the given circle?

• (x + 2)² + (y + 1)² = 2

• (x + 2)² + (y + 1)² = 4

• (x - 2)² + (y - 1)² = 2

• (x - 2)² + (y - 1)² = 4

Tags

CCSS.HSG.GPE.A.1