Equations of Circles

 The equation of a circle is: $\left(x-3\right)^2+\left(y-2\right)^2=16$ 

• The radius is 32 units.

• The radius is 16 units.

• The radius is 8 units.

• The radius is 4 units.

Tags

CCSS.HSG.GPE.A.1

What is the center of the circle: $\left(x+5\right)^2+\left(y-3\right)^2=9$  

•  $\left(5,\ 3\right)$  

•  $\left(5,\ -3\right)$  

•  $\left(-5,\ 3\right)$  

•  $\left(-5,\ -3\right)$  

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle?

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

• $x^2+y^2=4$

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

• $x^2+y^2=16$

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle?

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

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

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

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

Tags

CCSS.HSG.GPE.A.1

Select the graph of the circle: $\left(x-3\right)^2+y^2=4$  

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Tags

CCSS.HSG.GPE.A.1

Select the graph of the circle: $\left(x-1\right)^2+\left(y+2\right)^2=25$  

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Tags

CCSS.HSG.GPE.A.1

Select each statement that is true.

• The diameter is 2 units.

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

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

• The center is $\left(-3,-3\right)$ .

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

Tags

CCSS.HSG.GPE.A.1

Select all the equations for a circle with a diameter of 12.

• $\left(x+8\right)^2+\left(y-4\right)^2=36$

• $\left(x-2\right)^2+\left(y+14\right)^2=144$

• $x^2+y^2=36$

• $x^2+y^2=144$

• $\left(x+6\right)^2+\left(y+6\right)^2=24$

Tags

CCSS.HSG.GPE.A.1

Complete the equation: $\left(x+3\right)^2+\left(y-4\right)^2=$ 

Tags

CCSS.HSG.GPE.A.1

Select the statements that are true about the graph.

• The center is the origin.

• The radius is 6 units.

• The h-value is 0.

• The k-value is 0.

• The equation is:  $\left(x-1\right)^2+y^2=36$  

Tags

CCSS.HSG.GPE.A.1