#10.7 Circles in the Coordinate Plane

Write the standard form of the equation of this circle.

• $x^2+y^2=7$

• $x^2+y^2=49$

• $x^2+y^2=\sqrt{7}$

Write the standard form of the equation of this circle.

• $\left(x-5\right)^2+\left(y-1\right)^2=5$

• $\left(x+5\right)^2+\left(y+1\right)^2=25$

• $\left(x-5\right)^2+\left(y-1\right)^2=25$

• $\left(x+5\right)^2+\left(y+1\right)^2=5$

Write the standard form of the equation of a circle with center (0,0) and radius 8.

•  $x^2+y^2=64$ 

•  $x^2+y^2=8$ 

•  $x^2+y^2=\sqrt{8}$ 

•  $x^2+y^2=16$  

Write the standard form of the equation of a circle with center (0, -5) and radius 2.

•  $\left(x\right)^2+\left(y+5\right)^2=4$ 

•  $\left(x\right)^2+\left(y-5\right)^2=4$ 

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

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

Write the standard form of the equation of a circle with center (0, 0) and a point on the circle is  $\left(3,-4\right)$ .

•  $x^2+y^2=5$ 

•  $x^2+y^2=25$ 

•  $x^2+y^2=4$ 

•  $x^2+y^2=16$ 

Write the standard form of the equation of a circle with center  $\left(3,-2\right)$  and a point on the circle is  $\left(23,19\right)$ .

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

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

•  $\left(x+3\right)^2+\left(y-2\right)^2=841$ 

•  $\left(x-3\right)^2+\left(y+2\right)^2=841$ 

Which equation is shown in this graph?

• $x^2+y^2=4$

• $\left(x-3\right)^2+y^2=4$

• $\left(x+3\right)^2+y^2=4$

• $x^2+\left(y-3\right)^2=4$

Which equation is shown in this graph?

• $x^2+y^2=4$

• $\left(x-3\right)^2+y^2=4$

• $\left(x+3\right)^2+y^2=4$

• $x^2+\left(y-3\right)^2=4$

Which equation is shown in this graph?

• $x^2+y^2=4$

• $\left(x-3\right)^2+y^2=4$

• $\left(x+3\right)^2+y^2=4$

• $x^2+\left(y-3\right)^2=4$

The equation of a circle is given. Use completing the square to write the equation in standard form.

• $\left(x-3\right)^2+y^2=4$

• $x^2+\left(y-3\right)^2=4$

• $\left(x-6\right)^2+\left(y+9\right)^2=4$

• $\left(x+6\right)^2+\left(y-9\right)^2=4$