Triple the Area of a Circle

[Acorn]

Here are four solutions.

1. Triangle Scaffold:
   
   1. Clone Red Circle.
   2. Change to Green Triangle, 0° rotation.
   3. Clone Red Circle.
   4. Change to Blue, place behind.
   5. Shift-Drag so edge touches top-right triangle apex.
   
   
2. Circle Scaffold:
   
   1. Clone Red Circle.
   2. Change to Green move centre horizontally to Red's right edge.
   3. Clone Red Circle.
   4. Change to Blue, centre on top intersection of Red/Green.
   5. Shift-Drag so edge touches bottom intersection of Red/Green.
   
   
3. Two Circle Scaffold:
   
   1. Clone Red Circle twice.
   2. Change to Green and position all three so each just touches.
   3. Clone Red Circle.
   4. Change to Blue, place behind.
   5. Shift-Drag so edge touches bottom intersection of Green/Green.
   
   
4. Square/Hexagon Scaffold:
   
   1. Clone Red Circle.
   2. Change to Green Square, 0° rotation, place behind.
   3. Clone Red Circle.
   4. Change to Cyan Hexagon, 0° rotation, place behind.
   5. Shift-Drag so edges match the Square.
   6. Clone Red Circle.
   7. Shift behind Green.
   8. Shift-Drag so edged touches Hexagon.

My solutions are here: Triple Circle Area.xar. The button open a layer that shows the math / maths behind the constructions.

Acorn