Recap

To measure the area of your circle: 

  • Divide the circle in quarters
     
  • Divide each quarter into three sections so that you have twelve sections in total. 
     
  • Cut up the sections and reshape into a rectangle.    
     
  • Get the area of the rectangle by multiplying the length by the width.  
     
  • What was the area of your circle?

  

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Activity – Magic Trick 

How to Climb Through a Hole in a Piece of Paper

Want to impress your family with a cool trick? All you'll need for this one is a scissors and a piece of paper

  1. Fold a piece of paper in half like a book. 

     
  2. Cut into the folded over side, about 1 cm from the left-hand edge, and cut straight across to the other side of the paper, but STOP 1cm before the end, do not cut all the way.
     
  3. Turn the paper around to the open side of the folded paper and start cutting across about 1cm away from the last cut. Stop cutting 1cm before you get to the other side. 
     
  4. Turn the paper back to the folded side, and keep alternating cutting sides until you get to the end. It's important to keep your cuts about 1 cm apart, and always stop cutting 1 cm before you get to the other side of the paper. 
     
  5. Along the folded side of the paper you should have a series of loops of paper. Starting on the second loop, cut along the fold of each of the loops until you get to the last loop.  DO NOT cut the first loop and the last loop. 
     
  6. Carefully pull the paper apart. You should have a large zig zag loop. Try to fit yourself through the loop.


     
  7. Once you've practiced this a few times you should be ready to perform the trick for your family.  Ask them if they think you can cut a hole in the piece of paper that would be big enough to climb through.  They won’t believe you can do it.


     

How does it work? It’s not magic, you didn’t make the paper bigger.  The area of the sheet of paper remains the same all the way along, but by cutting the paper, you made the perimeter (edge) longer. 

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