Conic sections Circle

What is the center of the circle given the equation ?

 $x^2+y^2=1$  

• A.     (1,1)

• B.     (1,0)

• C.     (0,0)

• D.    Not enough information

Which of the following shows the standard equation of the circle with center at (0,0) and a radius of 3?

• $x^2+y^2=3$

• $x^2+y^2=9$

• $x^2+y^2=4$

• $x^2+y^2=81$

What is the equation of the circle given its center at (0, 0) and a radius of  $\sqrt{2}$  ?

•  $x^2+y^2=\sqrt{2}$ 

•  $x^2+y^2=2$ 

•  $x^2+y^2=\sqrt{-2}$ 

•  $x^2+y^2=-2$ 

What is the center – radius form of the equation of a circle?

•  $\left(x-h\right)^2+\left(y-k\right)^2=r^2$ 

•  $\left(x-h\right)^2-\left(y-k\right)^2=r^2$ 

•  $\left(x+h\right)^2+\left(y+k\right)^2=r^2$ 

•  $\left(x+h\right)^2-\left(y+k\right)^2=r^2$ 

1.      What is the center and radius of the circle with the equation  $\left(x-3\right)^2+\left(x-4\right)^2=9$ ?

• Center at   $(-3,-4)$   and radius of 9

• Center at   $(-3,-4)$   and radius of 3
  

• Center at   $(3,\ 4)$ and radius of 9
  

• Center at   $(3,\ 4)$   and radius of 3
  

Which of the following center and radius gives the equation  $\left(x-3\right)^2+\left(x+4\right)^2=\frac{9}{4}$ ?

• Center:  $(-3,-4)$ and radius of  $\frac{3}{2}$  

• Center:  $\left(3,-4\right)$ and radius of  $\frac{3}{2}$  
  

• Center:  $(-3,-4)$ and radius of  $\frac{9}{2}$  
  

• Center:  $\left(3,-4\right)$ and radius of  $\frac{9}{2}$  
  

What is the equation of the circle if its diameter is 10 units and its center is at  $(3,\ 2)$ ?

•  $\left(x-3\right)^2+\left(y-2\right)^2=5$ 

•  $\left(x-3\right)^2+\left(y-2\right)^2=25$ 
  

•  $\left(x+2\right)^2+\left(y+3\right)^2=10$ 

•  $\left(x-2\right)^2+\left(y-3\right)^2=100$ 

In the equation (x-3)²+(y+4)²=121, the radius of the circle is

• 242
• 11
• 121
• 22

Tags

CCSS.HSG.GPE.A.1

What is the equation of a circle with radius 2 and center (3, 4)?

• (x+3)² + (y+4)² = 2
• (x-3)² + (y-4)² = 2
• (x+3)² + (y+4)² = 4
• (x-3)² + (y-4)² = 4

Tags

CCSS.HSG.GPE.A.1

What is the equation of a circle with radius 4 and center (0, 8)?

• x² + (y-8)² = 16
• (x-8)² + y² = 4
• x² + (y-8)² = 4
• x² + (y+8)² = 16

Tags

CCSS.HSG.GPE.A.1