Equation of a Circle- Part 1

What are the two basic components of a circle that are used in the standard form equation of a circle?

• area and circumference

• radius and diameter

• center and diameter

• center and radius

One of the examples from the first video is shown. What is the equation?

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

•  $x^2+y^2=2$ 

•  $x^2+y^2=4$ 

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

One examples from the first video is shown. What is the equation?

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

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

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

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

One of the examples from the third video is shown. What is the equation of this circle?

•  $x^2+\left(y-2\right)^2=3$ 

•  $x^2+\left(y+2\right)^2=3$ 

•  $x^2+\left(y-2\right)^2=9$ 

•  $x^2+\left(y+2\right)^2=9$ 

What is the equation of a circle with center (15,9) and radius 2?

• $\left(x-15\right)^2+\left(y-9\right)^2=2$

• $\left(x+15\right)^2+\left(y+9\right)^2=4$

• $\left(x+15\right)^2+\left(y+9\right)^2=2$

• $\left(x-15\right)^2+\left(y-9\right)^2=4$

What is the equation of a circle with center (-13,6) and radius 5?

• $\left(x+13\right)^2+\left(y-6\right)^2=25$

• $\left(x-13\right)^2+\left(y+6\right)^2=25$

• $\left(x+13\right)^2+\left(y-6\right)^2=5$

• $\left(x-13\right)^2+\left(y+6\right)^2=5$

What is the equation of the circle shown?

• $\left(x-2\right)^2+\left(y+5\right)^2=9$

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

• $\left(x+2\right)^2+\left(y-5\right)^2=9$

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

What is the equation of the circle shown?

• $\left(x+4\right)^2+y^2=3$

• $\left(x-4\right)^2+y^2=3$

• $x^2+\left(y-4\right)^2=9$

• $\left(x-4\right)^2+y^2=9$