Practice With Circles

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

• (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

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

Determine the center and radius:
x² + y² - 10x + 8y -8 = 0

• C = (5,-4) r = 7

• C = (-5,4) r = 7

• C = (-4,5) r = 49

• C = (5,-4) r = 49

Tags

CCSS.HSG.GPE.A.1

Match the following vocabulary term with its appropriate part of the circle.

• Line PR

• Secant Line

• Major Arc

• Semi-Circle

• Minor Arc

• Point V

• Point of Tangency

What is the equation of the circle shown in the graph?

Mathematical Equivalence

ON

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

Write the equation of the circle in general form.

• A

• B

• C

• D

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

In the equation (x-4)²+(y-3)²=25, the radius is

• 4

• 3

• 5

• 25

Tags

CCSS.HSG.GPE.A.1