Circle Equation Anatomy and Exploration

Interact with this app for a minute or two. Be sure to move any LARGE POINT(S) you see around! Then answer the questions that follow.

What do you notice about the equation of a circle (in the upper left corner)? Does it look like any other equation we've seen in the past? If so, describe!

What would the equation of circle with center (0,0) and radius = 9 be?

[math]x^2+y^2=81[/math] [math]x^2+y^2=9[/math]

If a circle graph has equation [math]x^2+y^2=144[/math], what would its radius be?

radius = 144 radius = 12

Interact with this app for a minute or two. Be sure to move any LARGE POINT(S) you see around! Then answer the questions that follow.

Suppose a circle has center [math]\left(3,4\right)[/math] and has a radius of [math]5[/math]. What would its equation be?

[math]\left(x-3\right)^2+\left(y+4\right)^2=25[/math] [math]\left(x-3\right)^2+\left(y-4\right)^2=25[/math] [math]\left(x+3\right)^2+\left(y+4\right)^2=25[/math] [math]\left(x+3\right)^2+\left(y-4\right)^2=25[/math]

Suppose a circle has center [math]\left(3,-4\right)[/math] and has a radius of [math]5[/math]. What would its equation be?

[math]\left(x+3\right)^2+\left(y-4\right)^2=25[/math] [math]\left(x+3\right)^2+\left(y+4\right)^2=25[/math] [math]\left(x-3\right)^2+\left(y+4\right)^2=25[/math] [math]\left(x-3\right)^2+\left(y-4\right)^2=25[/math]

Suppose a circle has center [math]\left(-3,4\right)[/math] and has a radius of [math]5[/math]. What would its equation be?

[math]\left(x-3\right)^2+\left(y-4\right)^2=25[/math] [math]\left(x-3\right)^2+\left(y+4\right)^2=25[/math] [math]\left(x+3\right)^2+\left(y+4\right)^2=25[/math] [math]\left(x+3\right)^2+\left(y-4\right)^2=25[/math]

Suppose a circle has center [math]\left(-3,-4\right)[/math] and has a radius of [math]5[/math]. What would its equation be?

[math]\left(x+3\right)^2+\left(y+4\right)^2=25[/math] [math]\left(x-3\right)^2+\left(y-4\right)^2=25[/math] [math]\left(x+3\right)^2+\left(y-4\right)^2=25[/math] [math]\left(x-3\right)^2+\left(y+4\right)^2=25[/math]

Circle Equation Anatomy and Exploration

Interact with this app for a minute or two. Be sure to move any LARGE POINT(S) you see around! Then answer the questions that follow.

Interact with this app for a minute or two. Be sure to move any LARGE POINT(S) you see around! Then answer the questions that follow.

Information: Circle Equation Anatomy and Exploration