Circles & Implicits
Explore circles, ellipses, hyperbolas, and implicit equations that can't be written as y = f(x).
Levels
Tap a level to start exploring. Earn up to 3 stars per level!
Drag the sliders to move and resize a circle. Discover how h, k, and a control the equation (x−h)²+(y−k)²=a².
An ellipse appears on the graph. Identify its equation from the choices.
A ghost ellipse is shown. Type the implicit equation to match it perfectly.
Adjust the parameters so your hyperbola matches the ghost. Discover how a and b shape x²/a²−y²/b²=1.
Use circles, ellipses, and hyperbolas to draw faces, targets, flowers, and free-form art!
Ride circular arcs and elliptical bowls! Adjust radius and axes to send the marble home.
Start with Circle Basics to see how the center and
radius define a circle. Then explore ellipses, hyperbolas, and other
conic sections that can’t be written as simple functions!
⭕ Complete all five levels to unlock Arc Rider —
a physics bonus level where you shape circular arcs into marble runs!