Equations of a Circle Review

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

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

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

What is the radius of the circle
(x+7)²+(y-2)²=144?

• 7

• 12

• 13

Tags

CCSS.HSG.GPE.A.1

Determine the equation of the circle given the following graph

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

Identify the center and the radius of the circle with the equation (x + 3)² + (y - 7)² = 22.

• Center (3, -7) Radius 22

• Center (-3, 7) Radius 4.69

• Center (9, 49) Radius 11

• Center (-3, 7) Radius 11

Tags

CCSS.HSG.GPE.A.1

Identify the center and radius of the circle with the equation (x - 8)² + y² = 4.

• Center (0, -8) Radius 16

• Center (8, 0) Radius 4

• Center (4, 0) Radius 16

• Center (8, 0) Radius 2

Tags

CCSS.HSG.GPE.A.1

Write the equation of the circle with a center of (8, 6) and a radius of 9.

• (x - 8)² + (y - 6)² = 81

• (x - 6)² + (y - 8)² = 81

• (x - 8)² + (y - 6)² = 3

• (x - 4)² + (y - 3)² = 3

Tags

CCSS.HSG.GPE.A.1

Expand the equation of the circle to write it in standard form. (x + 3)² + (y + 4)² = 8

• x² + y² + 9x + 16y + 25 = 0

• x² + y² + 6x + 4y + 51 = 0

• x² + y² + 6x + 8y - 8 = 0

• x² + y² + 6x + 8y + 17 = 0

Tags

CCSS.HSG.GPE.A.1