Equations of Circles Practice

Identify the center and radius of the circle from the equation

• Center: (-13, 14)

  Radius: 4

• Center: (13, -14)

  Radius: 4

• Center: (-13, 14)

  Radius: 16

• Center: (13, -14)

  Radius: 16

Identify the center and radius of the circle

• $Center:\ \left(\frac{17}{2},\ -14\right)$
  $Radius\ =\ 2\sqrt{3}$
  

• $Center:\ \left(-\frac{17}{2},\ 14\right)$
  $Radius\ =\ 2\sqrt{3}$

• $Center:\ \left(\frac{17}{2},\ -14\right)$
  $Radius\ =\ 12$

• $Center:\ \left(-\frac{17}{2},\ 14\right)$
  $Radius\ =\ 12$

Identify the center and radius of the circle

• Center: (-7, 10)
  $r\ =\ \sqrt{59}$
  

• Center: (7, -10)
  $r\ =\ \sqrt{59}$

• Center: (-7, 10)
  $r\ =\ 59$
  

• Center: (7, -10)
  $r\ =\ 59$

What is the center of this circle?

•  $\left(\frac{3}{2},\ -\frac{11}{2}\right)$  

•  $\left(-\frac{3}{2},\ \frac{11}{2}\right)$  

•  $\left(\frac{3}{2},\ \frac{11}{2}\right)$  

•  $\left(-\frac{3}{2},\ -\frac{11}{2}\right)$  

What is the length of the radius of this circle?

• -9

• 9

• -3

• 3

What is the equation of the circle in the graph?

• 
  

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

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

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

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

What is the equation of the circle in the graph?

• $\left(x-1\right)^2+\left(y-4\right)^2=9$

• $\left(x-1\right)^2+\left(y-4\right)^2=3$

• $\left(x+1\right)^2+\left(y+4\right)^2=9$

• $\left(x+1\right)^2+\left(y+4\right)^2=3$

What is the equation of the circle in the graph?

• 
  

  $\left(x-4\right)^2+y^2=9$
  

• $\left(x+4\right)^2+y^2=9$

• $\left(x-4\right)^2+y^2=3$

• $\left(x+4\right)^2+y^2=3$

What is the center of the circle in the graph?

• (3, 2)

• (-3, -2)

• (2, 3)

• (-2, -3)

What is the radius of the circle in the graph?

• r = 16

• r = 8

• r =4

• r = 2