Equations of Circles

Choose the graph of the circle.

• 
• 
• 
• 

Choose the graph of the circle.

• 
• 
• 
• 

Give the equation of the circle in standard form.

• $\left(x-3\right)^2+\left(y+3\right)^2=4$

• $\left(x-4\right)^2+\left(y+2\right)^2=16$

• $\left(x+3\right)^2+\left(y-3\right)^2=16$

• $\left(x-3\right)^2+\left(y+3\right)^2=1$

Give the equation of the circle in standard form.

• $\left(x-4\right)^2+y^2=4$

• $\left(x+4\right)^2+y^2=4$

• $x^2+\left(y-4\right)^2=2$

• $\left(x-4\right)^2+y^2=2$

Give the equation of the circle in standard form.

• $\left(x+4\right)^2+\left(y-1\right)^2=1$

• $\left(x+1\right)^2+\left(y-4\right)^2=1$

• $\left(x+1\right)^2+\left(y+4\right)^2=4$

• $\left(x+4\right)^2+\left(y+1\right)^2=1$

Identify the center and radius of the circle.  

• Center (-2, -4) and radius = 2

• Center (2, 4) and radius = 3

• Center (-2, -4) and radius = 1

• Center (2, 4) and radius = 1

Identify the center and radius of the circle.  
 $\left(x+2\right)^2+\left(y+1\right)^2=49$  

• Center (-2, -1) and radius = 7

• Center (-2, -1) and radius = 49

• Center (2, 1) and radius = 49

• Center (2, 1) and radius = 7

Identify the center and radius of the circle.  
 $x^2+\left(y-16\right)^2=4$  

• Center (0, 16) and radius = 2

• Center (0, 16) and radius = 4

• Center (16, 0) and radius = 2

• Center (0, -16) and radius = 4

Tags

CCSS.HSG.GPE.A.1

Identify the center and radius of the circle.  
 $\left(x-7\right)^2+\left(y+2\right)^2=4$  

• Center (7, -2) and radius = 2

• Center (-7, 2) and radius = 4

• Center (-7, 2) and radius = 2

• Center (7, -2) and radius = 4

Identify the center and radius of the circle.  
 $\left(x+10\right)^2+\left(y+10\right)^2=36$  

• Center (-10, -10) and radius = 6

• Center (-10, -10) and radius = 36

• Center (10, 10) and radius = 6

• Center (10, 10) and radius = 36