Equation of Circles

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

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

• x² + y² = 4

• x² + y² = 81

• x² + y² = 9

• x² + y² = 3

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 given by the equation (x - 7)² + (y + 3)² = 25?

• 3

• 5

• 10

• 25

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

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

• 0
• 0.5
• 1
• 2

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

Which graph corresponds to 
(x-8)²+ (y+2)²=

• A
• B
• C
• D

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle, with centre (-4,5) and radius 6 units?

• (x - 4)^2 + (y + 5)^2 = 6
• (x - 4)^2 + (y + 5)^2 = 36
• (x + 4)^2 + (y - 5)^2 = 6
• (x + 4)^2 + (y - 5)^2 = 36

Tags

CCSS.HSG.GPE.A.1