Standard Equation of a Circle

What is the standard equation of the circle having a center at the origin and the radius is 5?

•  $x^2+y^2=5$  

•  $x^2+y^2=25$  

•  $x^2+y^2=\sqrt{5}$  

•  $x^2+y^2=1$  

Tags

CCSS.HSG.GPE.A.1

What is the standard equation of the circle having a center  $\left(3,-4\right)$  and the radius is  $\sqrt{6}$  ?

•  $\left(x-3\right)^2+\left(y+4\right)^2=36$  

•  $\left(x+3\right)^2+\left(y-4\right)^2=36$  

•  $\left(x-3\right)^2+\left(y+4\right)^2=6$  

•  $\left(x+3\right)^2+\left(y-4\right)^2=6$  

Tags

CCSS.HSG.GPE.A.1

What is the standard equation of the circle having a center  $\left(-2,4\right)$ tangent to the y - axis?

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

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

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

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

Tags

CCSS.HSG.GPE.A.1

What is the standard equation of the circle having a center  $\left(-2,4\right)$ tangent to the x - axis?

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

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

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

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

Tags

CCSS.HSG.GPE.A.1

What is the standard equation of the circle having a diameter of  $A\left(4,1\right)\ and\ B\left(-2,5\right)?$  

•  $\left(x+1\right)^2+\left(y+3\right)^2=169$  

•  $\left(x-1\right)^2+\left(y-3\right)^2=169$   $$ 

•  $\left(x+1\right)^2+\left(y+3\right)^2=13$  

•  $\left(x-1\right)^2+\left(y-3\right)^2=13$  

Tags

CCSS.HSG.GPE.A.1

What is the standard equation of the circle having a center at the origin and the radius is $\sqrt{9}$ ? 

•  $x^2+y^2=9$  

•  $x^2+y^2=81$  

•  $x^2+y^2=18$  

•  $x^2+y^2=\sqrt{5}$  

Tags

CCSS.HSG.GPE.A.1

What is the standard equation of the circle having a center  $\left(-2,-3\right)$  and the radius is  $6$  ?

•  $\left(x-2\right)^2+\left(y-3\right)^2=36$  

•  $\left(x+2\right)^2+\left(y+3\right)^2=36$  

•  $\left(x-2\right)^2+\left(y-3\right)^2=\sqrt{6}$  

•  $\left(x+2\right)^2+\left(y+3\right)^2=\sqrt{6}$  

Tags

CCSS.HSG.GPE.A.1

What is the standard equation of the circle having a center  $\left(-3,-4\right)$ tangent to the y - axis?

•  $\left(x+3\right)^2+\left(y+4\right)^2=9$  

•  $\left(x+3\right)^2+\left(y+4\right)^2=16$  

•  $\left(x-3\right)^2+\left(y-4\right)^2=9$  

•  $\left(x-3\right)^2+\left(y-4\right)^2=16$  

Tags

CCSS.HSG.GPE.A.1

What is the standard equation of the circle having a center  $\left(-3,-4\right)$ tangent to the x - axis?

•  $\left(x+3\right)^2+\left(y+4\right)^2=9$  

•  $\left(x+3\right)^2+\left(y+4\right)^2=16$  

•  $\left(x-3\right)^2+\left(y-4\right)^2=9$  

•  $\left(x-3\right)^2+\left(y-4\right)^2=16$  

Tags

CCSS.HSG.GPE.A.1

What is the standard equation of the circle having a diameter of  $A\left(-1,4\right)\ and\ B\left(4,2\right)?$  

•  $\left(x-\frac{3}{2}\right)^2+\left(y-3\right)^2=29$  

•  $\left(x-\frac{3}{2}\right)^2+\left(y-3\right)^2=\frac{29}{4}$   $$ 

•  $\left(x+\frac{3}{2}\right)^2+\left(y+3\right)^2=29$  

•  $\left(x+\frac{3}{2}\right)^2+\left(y+3\right)^2=\frac{29}{4}$  

Tags

CCSS.HSG.GPE.A.1