Level 3-6
Arc Rider
Ride circular arcs and elliptical bowls! Adjust radius and centre to send the marble home.
0 /30 Stars
0 /10 Tasks
Tasks
Adjust radius and centre to guide the marble along circular arcs. Earn up to 3 stars per task — unlock the next by completing the previous!
The circle forms a bowl. Adjust a (radius) so the bottom of the arc sits at the goal depth. Task 1
Marble Shift the circle's centre h to the right so the marble slides down and reaches the goal. Task 2
Marble Make a very large radius — this flattens the arc into an almost-straight ramp. Task 3
Marble Use a smaller a to create a deep, narrow bowl. The marble should plunge to the centre. Task 4
Marble Adjust k to raise or lower the entire bowl. Task 5
Marble Shift the circle centre (h, k) so the goal sits at the bottom of the bowl. Task 6
Marble The marble starts near the top of the arc. Let it slide down and launch off the edge. Task 7
Marble A small a creates a tight, focused bowl. Thread the marble into the narrow goal. Task 8
Marble The goal is not at the bowl's lowest point. Adjust all three parameters. Task 9
Marble All parameters live. Pick a, h, and k to route the marble to the tightest target yet. Task 10
Marble Start with Find Your Bowl to learn how the marble follows circular arcs, then progress through ramps that require precise radius and centre control. The final Grand Implicit Finale combines everything you've learned!
Tip: The marble rides along your circle equation — adjust the r (radius) to change how wide the bowl curves, and shift the centre to reposition the arc. A larger radius means a gentler curve.